Advanced Math: Nonlinear functions — Quiz 1

Questions in this quiz (10)

1. The graph of the quadratic function $$y=f(x)$$ is shown. What is the vertex of the graph?

   • $$(0,-2)$$
   • $$(0,-3)$$
   • $$(0,2)$$
   • $$(0,3)$$

2. The graph shows a marble's height above the ground $$y$$, in inches, $$x$$ seconds after it started moving on an elevated track of a marble run. Which of the following is the best interpretation of the $$y$$-intercept of the graph?

   • $$\text{The marble's height was }0\text{ inches above the ground }8\text{ seconds after it started moving.}$$
   • $$\text{The marble's height was }8\text{ inches above the ground when it started moving.}$$
   • $$\text{The marble's minimum height was }0\text{ inches above the ground.}$$
   • $$\text{The marble's minimum height was }8\text{ inches above the ground.}$$

3. What is the $$y$$-intercept of the graph shown?

   • $$(-8,0)$$
   • $$(-6,0)$$
   • $$(0,6)$$
   • $$(0,8)$$

4. The function $$f$$ is defined by $$f(x)=\frac{2}{5x}$$. What is the value of $$f(x)$$ when $$x=4$$?

   • 1/10

5. The function $$f$$ is defined by $$f(x)=\frac{24}{x}$$. What is the value of $$f(x)$$ when $$x=6$$?

   • 4

6. The function $$p$$ is defined by $$p(n)=5n^3$$. What is the value of $$n$$ when $$p(n)=40$$?

   • $$2$$
   • $$\sqrt[3]{8}$$
   • $$\sqrt[3]{\frac{8}{5}}$$
   • $$\sqrt[3]{\frac{40}{5}}$$

7. The function $$g$$ is defined by $$g(x)=|x-7|$$. What is the value of $$g(10)$$?

   • $$3$$
   • $$-3$$
   • $$17$$
   • $$70$$

8. Given $$f(x)=(x-2)(x+3)(x-5)$$, which of the following is NOT an $$x$$-intercept of the graph of $$f$$?

   • $$(2,0)$$
   • $$(-3,0)$$
   • $$(5,0)$$
   • $$(1,0)$$

9. Given $$f(x)=(x-7)(x+2)$$, what is the $$x$$-coordinate of an $$x$$-intercept?

   • -2, 7

10. The function $$g$$ is defined by $$g(x)=\sqrt{5x+4}$$. What is the value of $$g(4)$$?

    • $$3$$
    • $$\sqrt{19}$$
    • $$5$$
    • $$\sqrt{24}$$