Calculus
posted by Nicola .
Can someone help me finish this question... I got most of the answers but need help.
Suppose that f(x)=3x−6x+5.
(A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined.
Domain: (inf,5)U(5,inf)
(B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them separated by commas.
xintercept(s) = 2
yintercept(s) = ?
(C) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas.
Critical value(s) = none.
(D) Use interval notation to indicate where f(x) is increasing or decreasing. If there are more than one interval, enter the union of all intervals. If the answer is the empty set, enter {}.
Increasing: ?
Decreasing: ?
(E) Find the xcoordinates of all local maxima and minima of f. If there are no local maxima, enter None. If there are more than one, enter them separated by commas.
Local maxima at x = none.
Local minima at x = none.
(F) Use interval notation to indicate where f(x) is concave up or down.
Concave up: ?
Concave down: ?
(G) Find all inflection points of f. If there are no inflection points, enter None. If there are more than one, enter them separated by commas.
Inflection point(s) at x = ?
(H) Find all asymptotes of f. If there are no asymptotes, enter None. If there are more than one, enter them separated by commas.
Horizontal asymptote(s): y = 3
Vertical asymptote(s): x = 5

Assuming you really meant to type
f(x) = 3x^2  6x + 5
then
f'(x) = 6x  6
and
f''(x) = 6
All polynomials are defined for all real values of x.
xintercepts: where f(x) = 0
yintercept: f(x) where x=0
max/min where f'(x) = 0 and f''(x) is not zero
increasing where f'(x) > 0
concave up where f''(x) > 0
inflection where f''(x) = 0
Polynomials have no asymptotes. Rational functions usually have asymptotes
So, having reviewed the information above, what are your answers? We'll be happy to check them for you.
Respond to this Question
Similar Questions

Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.  … 
calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a. Let f(x)= x2+10x+26 … 
Calculus
A function f(x) is said to have a removable discontinuity at x=a if: 1. f is either not defined or not continuous at x=a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.  … 
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 . I'm really stuck … 
Math  Linear Algebra
Let S be the plane defined by x−4y−3z = −18, and let T be the plane defined by −2x+8y+7z = 41. Find the vector equation for the line where S and T intersect. x 0 0 y = 0 + t0 z 0 0 
Math  PreCalc (12th Grade)
The function f(x) = x2 − 5 is defined over the interval [0, 5]. If the interval is divided into n equal parts, what is the area of the kth rectangle from the right? 
Calculus Help Please!!!
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) ln(1 … 
PreCal: Domain
[Note: I really need help on these Domain questions. I've been struggling with this all day] Consider the following: f(x)= 5/x , g(x)= 7/(x+7) Find the solutions to the following: 1). (f+g)(x) 2). Domain of (f+g)(x) [Use interval … 
PreCal: Word Problem
I'm having a lot of trouble on this word problem. Can someone help me plz? 
Calculus MATH
Problem statement a) Suppose f(x) is defined on 0 ≤ x ≤ 1 by the following rule: f(x) is the first digit in the decimal expansion for x. For example, f(1/2) = 5 and f(0.719) = 7. Sketch the graph of y = f(x) on the unit interval …