Advanced Math: Nonlinear functions — Quiz 6

Questions in this quiz (10)

1. The graph of $$y=2x^2+bx+c$$ is shown, where $$b$$ and $$c$$ are constants. What is the value of $$bc$$?

   • $$-24$$

2. The table shows values of an exponential function $$f$$. If $$f(k)=b^{21}$$, what is the value of $$k$$?

   • $$11$$

3. The function $$h(t)=0.03t^2+4.2t+50$$ models the mass of an animal $$t$$ days after birth. What is the best interpretation of $$h(200)\approx1,690$$?

   • $$\text{The animal weighed about }200\text{ kg after }1,690\text{ days}$$
   • $$\text{The animal weighed about }1,690\text{ kg after }200\text{ days}$$
   • $$\text{The animal gained }1,690\text{ kg every }200\text{ days}$$
   • $$\text{The animal weighed }50\text{ kg after }200\text{ days}$$

4. The function $$f(x)=|3x-9|$$. What value of $$a$$ satisfies $$f(4)-f(a)=3$$?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$5$$

5. The function $$f(\theta)=-0.5(\theta-20)^2+600$$. What value of $$\theta$$ gives the maximum value of the function?

6. The function $$f(t)=40t-5t^2$$. The function $$g(t)=f(t)+2$$. What is the maximum value of $$g(t)$$?

   • $$2+40^2$$
   • $$2+\left(\frac{40}{2.5}\right)^2$$
   • $$2+80$$
   • $$2+20^2$$

7. A diver’s depth is modeled by a quadratic function. The diver reaches a maximum depth of $$120$$ meters at $$4$$ minutes and returns to the surface at $$8$$ minutes. What is the depth at $$6$$ minutes?

   • $$90$$

8. The area of a rectangle is $$x^2$$. Its length is $$x+6$$ and its width is $$x-3$$. What is the value of $$x$$?

   • $$6$$

9. The function is $$y=3(x-2)(x+4)(x-2)$$. How many distinct $$x$$-intercepts does the graph have?

   • $$1$$
   • $$2$$
   • $$3$$
   • $$4$$

10. The table shows values of $$g(x)$$, where $$g(x)=\frac{f(x)}{x-2}$$ and $$f$$ is linear. What is the $$y$$-intercept of $$y=f(x)$$?

    • $$(0,4)$$
    • $$(0,6)$$
    • $$(0,8)$$
    • $$(0,10)$$
    • $$(0,-22)$$