Mathematics

Examine the following graph of the linear function f(x)=2x+1 and the quadratic function g(x)=−116(x+3)2+6.
Graph of g of x is a downward opening parabola that passes through points (negative 4, 5), (negative 3, 6), & (1, 5). f of x is a line that passes through points (negative 4, negative 7), (0, 1), & (3, 7).

© 2018 StrongMind. Created using GeoGebra.

Which statements about the functions are true?

There is more than one correct answer. Select all correct answers.

Over the interval 4≤x≤6, the average rate of change of g(x) is faster than the average rate of change of f(x).
Over the interval −8≤x≤−7, the average rate of change of g(x) is slower than the average rate of change of f(x).
Over the interval 0≤x≤3, the average rate of change of g(x) is the same as the average rate of change of f(x).
Over the interval \(-8 \le x \le -3\textsf{,}\) the average rate of change of \(g(x)\) is slower than the average rate of change of \(f(x)\textsf{.}\)
Over the interval \(4 \le x \le 6\textsf{,}\) the average rate of change of \(g(x)\) is slower than the average rate of change of \(f(x)\textsf{.}\)
Over the interval \(-3 \le x \le 2\textsf{,}\) the average rate of change of \(g(x)\) is faster than the average rate of change of \(f(x)\textsf{.}\)

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. math help!!!

    stuck!! pls help/explain!!! 2. Do the values in the table represent a linear function? If so, what is the function rule? (1 point) x = -2, 0, 2, 4 y = -4, 0, 4, 8 The values do not show a linear function. Yes, they show a linear

  2. MATH

    Lesson 10: Linear Functions Unit Test Algebra 1 A Unit 6: Linear Functions (Connections Academy) 1.a yes: y=1.2x 2.d no; y does not vary directly with x 3.d graph going from (-10, -5) to (10, 3) 4.d graph going from (-10, -3) to

  3. Algebra 2

    Graph a sine function whose amplitude is 5, period is 6π , midline is y=−2 , and y-intercept is (0, −2) . The graph is not a reflection of the parent function over the x-axis. im not so sure how i would graph this :/

  4. Math ~ Check Answers ~

    A system of linear equations is shown below. 5X = 3y - 2 y = X + 4 What is the x -coordinate of the solution? a.) 2 b.) 4 ***** c.) 5 d.) 1 Jean needs to graph the function below. y = 7x ^2 + 8x -6 How many times should the graph

  1. precalculus/trigonometry

    Find a formula for the given linear function. The graph of h intersects the graph of y = x^2 at x = -2 and x = 4

  2. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not

  3. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent

  4. Calculus

    The graph of a function f is shown. Let g be the function that represents the area under the graph of f between 0 and x. (a) Use geometry to find a formula for g(x). (b) Verify that g is an antiderivative of f and explain how this

  1. College algebra!

    For the linear function f(x) = 5x + 3 (a) Determine the slope and y-intercept (b) Use the slope and y-intercept to graph the linear function. (c) Determine the average rate of change of the function (d) Determine whether the

  2. Algebra 1- Please help whenever you get the chance

    Graph the function shown by the table. Tell whether the function is linear or nonlinear. x|y 0|1 1|2 2|5 3|10 i'm sorry, i don't have the graph, but is their any way this could work without it? Please help. Thanks

  3. quadratic functions

    The graph of a quadratic function can have 0, 1 or 2 x-intercepts. How can you predict the number of x-intercepts without drawing the graph or (completely) solving the related equation? Suppose that the graph of f(x) = ax^2+bx+c

  4. Math

    A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

You can view more similar questions or ask a new question.