Functions 2 — Advanced Math

Questions in this quiz (7)

1. For the linear function $$f(x)=3x+k,$$ the constant $$k$$ satisfies $$f(5)=29.$$ What is the value of $$k$$?

   • $$8$$
   • $$11$$
   • $$14$$
   • $$17$$

2. The graph of the function $$g$$, where $$y=g(x)$$, is shown. The $$y$$-intercept of the graph is $$(0,y)$$. What is the value of $$y$$?

   • $$-3$$
   • $$-1$$
   • $$1$$
   • $$-5$$

3. The graph of a system of nonlinear functions is shown. What is the solution to this system?

   • $$(1,\frac{9}{2})$$
   • $$(\frac{1}{2},\frac{9}{2})$$
   • $$(\frac{1}{2},\frac{17}{4})$$
   • $$(\frac{1}{4},\frac{9}{2})$$

4. The graph of $$y=f(x)$$ is shown in the $$xy$$ plane. What is the value of $$f(0)$$?

   • $$-2$$
   • $$0$$
   • $$2$$
   • $$6$$

5. The graph shows the predicted value $$y$$, in dollars, of a certain laptop $$x$$ years after it is first purchased. Which of the following is closest to the predicted value of the laptop 2 years after it is first purchased?

   • $$1000$$
   • $$1200$$
   • $$1400$$
   • $$1800$$

6. The graph shows a ball’s height above the ground $$y$$, in inches, $$x$$ seconds after it was launched along a curved ramp. Which of the following is the best interpretation of the $$y$$ intercept of the graph?

   • It represents the maximum height the ball reaches.
   • It represents the height of the ball when $$x=4$$ seconds.
   • It represents the ball’s initial height above the ground when it was launched.
   • It represents the time when the ball first touches the ground.

7. When is the function $$g(x)=\frac{x^2-25}{x+9}$$ undefined?

   • $$-5$$
   • $$-7$$
   • $$-9$$
   • All the above.