Question 1

Which of the following best describes the function whose graph is shown in the third image (with endpoints at $$(-4, 2)$$ and $$(3, 3)$$)?

Accepted Answer

An absolute value function

Question 2

Given the piecewise-defined function $$f(x) = \begin{cases} -x + 3 & 	ext{if } x \u003c 2 \ 2x - 3 & 	ext{if } x \geq 2 \end{cases}$$, what is $$f(2)$$?

Accepted Answer

$$2 \cdot 2 - 3 = 1$$

Question 3

Which function is most likely represented by the graph in the fourth image (a 'V' shape with its vertex above the origin)?

Accepted Answer

An absolute value function

Question 4

A piecewise-defined function is given by $$f(x) = \begin{cases} x + 1 & 	ext{if } -8 \leq x  4 \end{cases}. $$What is $$f(5)$$?

Accepted Answer

$$-5 + 6 = 1$$

Question 5

Which of the following is the correct definition for the piecewise function whose graph is shown in the fifth image (with points $$(-8, -7)$$, $$(4, 2)$$, $$(4, 5)$$, and $$(4, -6)$$)?

Accepted Answer

$$f(x) = x + 1$$ for $$x  4$$, f(4) = -6$

Question 6

Which of the following is the correct formula for the square function?

Accepted Answer

$$f(x) = x^2$

Question 7

Suppose a company charges a flat fee of $$\50$ for up to 2 hours of service, and $$\$$30$$ for each additional hour. Which piecewise function models the total cost $$C(h)$$ for $$h$$ hours of service?

Accepted Answer

$$C(h) = \begin{cases} 50 & 0  2 \end{cases}$$

Question 8

Which of the following best describes the reciprocal function?

Accepted Answer

$$f(x) = \frac{1}{x}$$

Question 9

A hospital charges $$\100$ for the first consultation and $$\$$75$$ for each additional visit. Which piecewise function models the total cost $$C(n)$$ for $$n$$ visits?

Accepted Answer

$$C(n) = 100 + 75(n-1)$$ for $$n \geq 1$$

Question 10

Which of the following is the correct formula for the cube root function?

Accepted Answer

$$f(x) = \sqrt[3]{x}$$

Question 11

If $$f(x) = |x|$$, what is $$f(-5)$$?

Accepted Answer

$$5$$

Question 12

Which of the following is the correct formula for the square root function?

Accepted Answer

$$f(x) = \sqrt{x}$$

Question 13

A taxi company charges $$\3$ for the first mile and $$\$$2$$ for each additional mile. Which piecewise function models the total fare $$F(m)$$ for $$m$$ miles?

Accepted Answer

$$F(m) = 3 + 2(m-1)$$ for $$m \geq 1$$

Question 14

Which of the following is the correct formula for the cube function?

Accepted Answer

$$f(x) = x^3$

Question 15

If $$f(x) = \begin{cases} 2x & x \u003c 0 \ x^2$ & x \geq 0 \end{cases}$$, what is $$f(-3) + f(2)$$?

Accepted Answer

$$2(-3) + 2^2$ = -6 + 4 = -2$$

Chapter 2.4

Guida di studio - Domande di pratica

Study guide - Flashcard