A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the xaxis. Which function could be the function described? f(x)=10cos(3x)−10 f(x)=10cos(2π3x)+10
35,725 results
differentiability
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x24)*g(x), which of the following is true? A. f has a relative maximum at x=2 and a relative minimum at x=2, B. f has a relative minimum at

Calculus
Find the values of x that give relative extrema for the function f(x)=3x^55x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=1; Relative minimum: x=1 C. Relative maxima: x=+or 1; Relative minimum: x=0 D. Relative

Algebra 2
What is the relative maximum and minimum of the function? f(x) = 2x^3 + x^2 11x A  The realative maximum is at (1.53,8.3) and the realative minimum is at (1.2,12.01) B  The realative maximum is at (1.53,12.01)and the realative minimum is at (1.2,

Trig
find the equation for the cosine function that has an amplitude of 3/5, a period of 3pi/2 and a yintercept of 5.

trigonometry
An object is attached by a string to the end of a spring. When the weight is released it starts oscillating vertically in a periodic way that can be modeled by a trigonometric function. The object's average height is −20 cm (measured from the top of the

Math
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always 1 less than the degree.

Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following

Calculus
Explain why or why not: 1. if f'(c)=0, then f has a local maximum or minimum at c. 2. if f''(c)=0, then f has an inflection point at c. 3. F'(x)=x^2+10 and G(x)=x^2100 are antiderivatives of the same function 4. Between two local minima of a function

Algebra 2 check my last answer?!
A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the xaxis. Which function could be the function described? f(x)=10cos(3x)−10 f(x)=10cos(2π3x)+10

Algebra 2
Which cosine function has maximum of 4, a minimum of 4, and a period of 2pi/3? A. y=4 cos 3 theta B. y= 4 cos 2 theta/3 C. y=4 cos theta/3 D. y=4 cos 3 theta

Cosine Math Question
Graph a cosine function whose amplitude is 4, period is π , midline is y=−3 , and yintercept is (0, 1) . The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point. I

Trig
If the period of a cosine function is 1/3 what is the frequency of the function?

math
Which cosine function has maximum of 0.5, a minimum of 0.5, and a period of 2π/3?

PreCalc
The temperature T(t) varies sinusoidally on a certain day in December. The minimum temperature is 35 degrees Fahrenheit at midnight. The maximum temperature is 50 degrees Fahrenheit at noon. Let t be the number of hours since midnight (t=o at midnight).

math
Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = x2 + 2x  9

ALGEBRA
Determine whether the quadratic function has a minimum or maximum value.Then find the coordinates of the minimum or maximum point. f(x)=2x^24x

Calculus Please Help
A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For each of the following

Math: PreCal
Consider the function f(x)=5cos((2/3)x(pi/6)) a). Is there a reflection? Does the graph start at a maximum, a minimum, or an xintercept? For Amplitude I got 5 For Period I got 3pi And for Phase shift I got 3pi/12 or => pi/4

Please check my Calculus
1. Find all points of inflection: f(x)=1/12x^42x^2+15 A. (2, 0) B. (2, 0), (2, 0) C. (0, 15) D. (2, 25/3), (2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my

Mathematics
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 yintercept: (0, 1) The function is not a reflection of its parent function over the xaxis. Use the sine tool to graph the function. The first point must be on the

Algebra
A sine function has the following key features: Period = 4 Amplitude = 4 Midline: y = 1 yintercept: (0, 1) The function is not a reflection of its parent function over the xaxis. Use the Desmos graph tool to graph the function. The first point must be on

Grade 11 MAth
Determine the equation of a sine function that would have a range of {y 4 ≤ y ≤ 1, y ε R} and a period of 45o. Determine the cosine function that results in the same graph as the function above. Deter

Math III
For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the function: f(0)=4;f(pi/4)=0;f(pi/2)=4;f(3pi/4)=0;f(pi)=4. What is the rule for the cosine function? a. y=2cos4theta b. y=4cos2theta c.

Math help? Someone help me?
Dewight needs to restrict the domain of the cosine function so that the inverse is a function. Which description best describes how she could restrict the domain? So that y = cos(x) is always decreasing So that y = cos(x) only has one maximum So that y =

math (sinusoidal functions
The height of the rider on a Ferris Wheel can be modeled by a cosine function. At time t = 0, a rider boards the Ferris Wheel at its minimum height of 3 m. The maximum height of the Ferris Wheel is 39 m. During the 8 minute ride, the rider reaches the

Calculus
Give an example of a function with a critical point that is neither a maximum nor a minimum. Specify the relevant point(s). This is what I have and this is what I got wrong... A function with a critical point that is neither a maximum nor a minimum would

Calculus
A cosine function is a reflection of its parent function over the xaxis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7. The graph of the function does not show a phase shift. What is the

algebra
Which cosine function has maximum of 2, and a period of 2pi/3

PreCalc
Hi, I'm needing help on how to find the vertical shift, horizontal shift, amplitude, period, domain, and range; As well as the sine and cosine function based off of 12 data points (Which i'll provide below) Can someone please walk me through the steps on

Absolute Extrema
Find the minimum and maximum values of the function f(x)= 2/3 sin pix on the interval [1,2] (domain). I got (1.5, 2/3) as the minimum and no maximum on the interval. Is it correct? Thank you.

Math
write an equation of a cosine function with Amplitude=1/2, Period=6pi, and Phase Shift=pi/3?

algebra(reiny)
Hey thanks for all your help but you kinda confused me on a few: 1)Determine whether f(x)=5x^210x+6 has a maximum or minimum value and find that value A.minimum 1 B.maximum 11 C.maximum 1 D.minimum 11 and you said the function opens up, so there is a

Mathematics
A sine function has the following key features: Period = π Amplitude = 2 Midline: y= −2 yintercept: (0, 2) The function is a reflection of its parent function over the xaxis. Use the sine tool to graph the function. The first point must be on the

Algebra2
Complete parts a – c for each quadratic function. a. Find the yintercept, the equation of the axis of symmetry and the xcoordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x)

math
Answer the following questions for the function f(x)=sin^2(x/5) defined on the interval .(15.507923,3.82699075) Rememer that you can enter "pi" for as part of your answer. a.what is f(x) concave down on the region B. A global minimum for this function

Calculus
Find the absolute maximum and absolute minimum of f on the interval (4, 1]: f(x)=(x^3+8x^2+19x+12)/(x+4) A. Maximum: None; Minimum: (2, 1) B. Maximum: (4, 3); Minimum (1, 0) C. Maximum: (4, 3); Minimum: (2, 1) D. Maximum: None; Minimum: (1, 0) E.

Math
In a certain state, the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40 mi/h. The fine for violating these limits is $15 for every mile per hour above the maximum speed or below the minimum speed. Express the amount of the fine F

math
What are the coordinates of the vertex of the graph? Is it a maximum or a minimum? a. (−2, −1); maximum b. (−1, −2); maximum c. (−2, −1); minimum d. (−1, −2); minimum the graph shows the shape like a U and it's towards the negative area

calculus
Consider the graph of the cosine function shown below. y=4 cos (2 x) a. Find the period and amplitude of the cosine function. b. At what values of θ for 0 ≤ θ ≤ 2π do the maximum value(s), minimum value(s), and zeros occur? so i don't know how to

Algebra 2 check
A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the xaxis. Which function could be the function described? f(x)=10cos(3x)−10 f(x)=10cos(2π3x)+10

Algebra 2
Dewight needs to restrict the domain of the cosine function so that the inverse is a function. Which description best describes how she could restrict the domain? A) So that y = cos(x) is always decreasing B) So that y = cos(x) only has one maximum

Algebra 2
The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.

trig
Consider the trigonometric function f(t) = 3+4cos(pi/3(t3/2)) What is the amplitude/period of f(t)? What are the maximum and minimum values attained by f(t)?

Calc 3
Find the maximum and minimum values of the function f(x,y,z)=x+2y subject to the constraints y^2+z^2=225 and x+y+z=1. Maximum and minimum value is?

Algebra
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 yintercept: (0, 1) The function is not a reflection of its parent function over the xaxis. The first point must be on the midline and the second point must be a

Algebra
A sine function has the following key features: Period = π Amplitude = 2 Midline: y=−2 yintercept: (0, 2) The function is a reflection of its parent function over the xaxis. The first point must be on the midline and the second point must be a

Finite Mathematics
Find the maximum and minimum value of the objective function given. z = 21x + 12y maximum value z = minimum value z =

Math
Use the given graph of the function on the interval (0,8] to answer the following questions. Where does the function f have a local maximum? Answer (separate by commas): x= Where does the function f have a local minimum? What is the global maximum of f?

Math
Write an equation of a cosine function with Amplitude=4, Period=pi/2, and Phase Shift=pi?

Advanced Math
Write an equation of the cosine function with amplitude 2, period pi, phase shift pi/4. y=acosx y=2cos2(xpi/4) I got it wrong

Calculus
Answer the following questions for the function f(x) = sin^2(x/3) defined on the interval [ 9.424778, 2.356194]. Rememer that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . b.) A global minimum for this

Math
Which cosine function has maximum of 0.5, a minimum of 0.5, and a period of 2pi/3?

calculus
there are no examples of this type of problem in my book so if you could help walk me through it  that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. 4) F(x)=³√(x); 3

calculus
Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not exist, enter DNE.) f(x) = square root of (25 − x^2) (a) [−5, 5] minimum (x, y) = (smaller xvalue) (x, y) = (larger xvalue) maximum (x, y) = (b) [−5,

Graphing trigonometric function
sine and cosine have a period 2pi tangent and cotangent have period pi Can someone explain why? thanks a lot. well tangent is sine/cosine and there a place where the tangent function is undefined and that is where the asymptotes occur. the same is true

Trigonometry
Can someone please explain this to me?? I'm really stuck on it. First of all, i don't know if I should use cosine or sine for the function because it only says to make a sinusoidal function that models the data, and a sinusoidal function could be either

Algebra 2 help please.
Dewight needs to restrict the domain of the cosine function so that the inverse is a function. Which description best describes how she could restrict the domain? A) So that y = cos(x) is always decreasing B) So that y = cos(x) only has one maximum C) So

Algebra 2
The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.

Algebra2
Complete parts a – c for each quadratic function: a. Find the yintercept, the equation of the axis of symmetry and the x coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1.

Calculus
Use analytical methods to find the exact global maximum and minimum values of the function f(x)=8xln(4x) for x >0. If a global maximum or minimum does not exist, enter the word NONE. For the global maximum at x=none, But for the Global minimum at x=? Is

Calculus (pleas help!!!)
Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B)

Calculus (pleas help!!!)
Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter 1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum = Absolute minimum = (B)

Algebra Maximum and minimum.
I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = x2 + 2x  4 20.f(x) = 2x2  4x 19.f(x) = x2 

Caluclus
Find the absolute maximum and absolute minimum of f on the interval (1,2]: f(x)=(x^3+x^2+3x+1)/(x+1) A. Maximum: (1, 2); Minimum: (1, 2) B. Maximum: (1, 2); Minimum: None C. Maximum: None; Minimum: None D. Maximum: None; Minimum: (1, 2) E. None of

Algebra
Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function. f(x)=x^24x3 What is the vertex? (Type an ordered pair) What is the equation of the line of symmetry? x= What is the maximum/minimum of f(x)?

trig
Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the yaxis, period ¾, translation up 5 units C)A cosine function with period

math
Construct the equations of the following trigonometric functions: A)A sine function with amplitude 2, period , phase shift /3 right B)A tangent function with a reflection in the yaxis, period ¾, translation up 5 units C)A cosine function with period

Math
A variable star is one whose brightness alternately increases and decreases. Lists of variable stars can be found online, and many occur in familiar constellations visible with the naked eye. One such star, R Hydrae, has an average magnitude rating of 7.2

math
Maximum or minimum values of the function f(x) = (1 – x)^2 e^x is: i need solution (a) Minimum value at x = –1; maximum value x = 1 (b) Minimum value at x = 1; maximum value x = –2 (c) Minimum value at x = 1; maximum value x = –1 (d) None of these

math
1.How is the maximum or minimum point of the original quadratic function related to the maximum or minimum point of its reciprocal function? 2.How can you use the leading coefficient of the original quadratic function to tell you whether its reciprocal

Algebra
I frequently find myself lost with concepts in math, and even looking at some problems is an anxiety trip. I have several questions on a test, all vaguely revolving around the same concept, but I'm not sure how to make sense of them. Could someone explain

Math
Time Height above ground 0 45 3 65 6 80 9 85 12 80 15 65 18 45 21 25 24 10 27 5 30 10 33 25 36 45 I know the following things: The minimum is 5 while the maximum is 85. amplitude: 855/2 = 40 period =360/45 = 8 vertical translation = 5 + 40 = 45 But I

Calculus AB
If a sinusoidal function has a local maximum at (3,8) and the next local minimum at (7,2), 1) What is the equation of a cosine function that has a graph characterized in the statement above 2) What is the equation of a sine function that has a graph

Math
Explain how to determine the value of x that gives a maximum for a transformed cosine function in the form y=acos(k(xd)) + c, a>0, if the maximum for y=cosx occur at (0degrees, 1)

algebra
determine the given quadratic function has a minimum valueor maximum vale. Then find the coordinates of the minimum or maximum point. f(x)=x^2=2x9

Calculus
Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^263x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [8,0] Absolute maximum = Absolute minimum = (B) Interval = [5,4] Absolute maximum =

Analysis
Write an equation of a cosine function with Amplitude=4, Period=pi/2, and Phase Shift=pi? Also write an equation of a cosine function with Amplitude=1/2, Period=6pi, and Phase Shift=pi/3?

Math
Can someone help me with these questions? 1.What are the maximum and minimum values for Y=28(1.21)^x on the interval 0

MATHS
The quadratic function f(x) has roots at x=4 and x=2 and has value of 2 at x=0. Does f(x) have a minimum or maximum? Find the value of the /minimum/maximum value of f(x).

Maximum and Minimum
Its been awhile since I have done compleating the square, can you please help me? Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 19.f(x) = x2  2x + 1 And how

Trig
a) Determine the equation of a sine function that would have a range of {y€R7

math
Indicate the correct answer for the function. If (x)= x^3  3x^2 + 3x + 7, then f(x) is: a) Maximum b) Minimum c) Neither maximum or minimum d) not possible

Math/Trig
Write an equation for a cosine function with an amplitude of 2/3 , a period of pi, and a vertical shift of 2 units up.

Calculus
Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = −x2 + 2x + 3 on [3, 6] maximum minimum

AP CALC. AB
2. A cubic function is a polynomial of degree 3 and has the form y=mx^3+bx^2+cx+d; m≠0. What is the maximum quantity of local extreme values a given cubic function can have? a. 2 b. 1 c. 0 d. 3 Is it (a)?? 2. Let f(x)=xln(x). The minimum value attained

trigo
find the period, amplitude,zeros, extreme points at maximum and minimum of the given function: 1.y = sin( 2x) 2.y = 4 sin( 5x) 3.y = 3 sin (3x/5) 4.y = 1/2 cos (4x)

precalculus
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always 1 less than the degree.

math
I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank you so much. So 1)when

pre calc
The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest

Calculus
f(x) = sin^2(x/2) defined on the interval [ 5.683185, 1.270796]. Remember that you can enter pi for \pi as part of your answer. a.) f(x) is concave down on the interval . b.) A global minimum for this function occurs at . c.) A local maximum for this

Economics
A manufacturing firm produces output using a single plant. The relevant cost function is TC=45,000+8Q squared and the demand function is Q=1000.02P a)What is the minimum level of AC b)What is the firms profit when AC is at a minimum? c)What is the firms

Algebra1
y=x^2+4x+11 can be written as y=(x+2)^2+7 by completing the square.Written this way one can that the function has a ____. A.) minimum value of 7 B.) minimum value of 2 C.) minimum value of 2 D.) maximum value of 7

Math/Algebra...can you check this please...
f(x)= 4(x+5)^2+3 The vertex is : 5,3 The line of symmetry is x= 3 The maximum/minimum value of f(x)= 5 Is the value of f(5)=3, a minimum or maximum? Minimum Graphing would open from the bottom going up on the negative side.

maths
Given p(x)=x^4+ax^3+bx^2+cx+d,such that x=0 is the only real root of p'(x)=0.If p(1)

maths
Given p(x)=x^4+ax^3+bx^2+cx+d,such that x=0 is the only real root of p'(x)=0.If p(1)

ALGEBRA
Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function. f(x) = 2x^2 + 2x + 9 x coordinate is y coordinate is the equation of the line of symmetry is x = Maximum/minimum of f(x) is the value, f (1half) = 19 over 2

calculus
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x24)g(x), which of the following is true? f has a relative maximum at x=2 and a relative minimum at x=2, f has a relative minimum at x=2 and has a

calculus
5.In a certain state the maximum speed permitted on freeways is 65 km/h and the minimum speed is 40 km/h. The fine for violating these limits is Rs.15 for every kilometer per hour above the maximum speed or below the minimum speed. Express the amount of

Math
The minimum is (3 π, 5) and the maximum is (5 π, 8). What is the amplitude and what is the period?