Functions — Quiz 2

Questions in this quiz (8)

1. Based on the values above, what is the y-intercept of this function?

   • 0
   • 2
   • 1
   • -1

2. The cost function to produce $$x$$ chairs is $$C(x)=F+Vx$$, where $$F$$ is a fixed cost and $$V$$ is the variable cost per chair. If the total cost of producing 8 chairs is $$360$$, and the fixed cost is $$80$$, what is the total cost to produce 11 chairs?

   • 385
   • 80
   • 465
   • 360

3. At what point will the graph of the function $$y = \frac{1}{3^x}$$ intersect the $$y$$-axis?

   • $$(0, 0)$$
   • $$(0, 1)$$
   • $$(1, 1)$$
   • $$(0, 3)$$

4. Let $$f(x) = \frac{x + 4}{2x}$$. What is the product of $$f(2)$$ and $$f(4)$$?

   • $$\frac{3}{2}$$
   • $$4$$
   • $$1$$
   • $$3$$

5. In a linear function $$g(x)$$ with a graph that has a slope of $$-3$$, if $$g(4) = 10$$, what is the value of $$g(1)$$?

   • 12
   • 19
   • 22
   • 10

6. The BetaTech Company produces wireless routers. The cost function for producing the Beta100 model is $$C(x) = 4x^2 - 5x + 12$$ where $$x$$ represents the number of routers produced, and the cost is in dollars.How much does it cost to manufacture 15 of these routers?

   • 837
   • 225
   • 900
   • 75

7. Below is a scatterplot depicting the relationship between the variable $$a$$ and the variable $$b$$. Which of the following best describes the relationship depicted in the graph?

   • There is a strong positive correlation between the two variables.
   • There is a strong negative correlation between the two variables.
   • The two variables are not correlated.
   • As the value of $$a$$ increases, the value of $$b$$ decreases.

8. Give the domain and range of the function $$f(x)=3x+4$$.

   • Domain: $$(-\frac{4}{3},\infty)$$ Range: $$(\frac{4}{3},\infty)$$
   • Domain: $$(-\infty,-\frac{4}{3})$$ Range: $$(-\infty,\frac{4}{3})$$
   • Domain: $$(-\infty,-\frac{4}{3})$$ Range: $$(-\infty,\infty)$$
   • Domain: $$(-\infty,\infty)$$ Range: $$(-\infty,\infty)$$