Question 1

Which of the following best describes the domain of the function $$y = f(x) = \sqrt{x}$$?

Accepted Answer

$$x \geq 0$$

Question 2

Given the function $$y = f(x) = \frac{1}{x-1}$$, which value is NOT in the domain?

Accepted Answer

$$x = 1$$

Question 3

A function $$f is $$defined by $$f(x) = 3x + 6. $$What is the range of $$f$$?

Accepted Answer

All real numbers

Question 4

Which of the following tables represents a function?

Accepted Answer

Each input has exactly one output

Question 5

If $$y = f(x) = x^2$ + 1$$, what is $$f(3)$$?

Accepted Answer

$$10$$

Question 6

A motorist travels at $$70 km/h $$for $$2$$ hours and then at $$80 km/h $$for $$t$$ hours. Which function gives the total distance $$d$$ traveled?

Accepted Answer

$$d = 140 + 80t$$

Question 7

Which of the following statements about the vertical line test is TRUE?

Accepted Answer

A graph is a function if every vertical line intersects it at most once

Question 8

Let $$y = f(x) = x^2$ + 2. $$What are the intercepts of the function?

Accepted Answer

y-intercept: $$2$$, x-intercept: None

Question 9

If $$f(x) = 2x + 4$$, what is $$f(-4)$$?

Accepted Answer

$$-4$$

Question 10

Which of the following best describes an increasing function?

Accepted Answer

$$f(x_2$) \u003e f(x_1$) if$$ $$x_2$$ \u003e $$x_1$$

Question 11

Given $$f(x) = x^2$ + 2$$, for which value(s) of $$x$$ does $$f(x) = 11$$?

Accepted Answer

$$x = 3 or$$ $$x = -3$$

Question 12

The population of a city $$P in $$millions is a function of $$t$$, the year, $$P = f(t). $$What does $$f(2005) = 12$$ mean?

Accepted Answer

The population in 2005 is 12 million

Question 13

Which of the following is NOT a valid way to represent a function according to the rule of four?

Accepted Answer

As a solution to a differential equation

Question 14

Suppose $$f(x) = x^2$ + 4$$ and $$g(x) = 6x - 2. $$What is $$f(g(1))$$?

Accepted Answer

$$f(g(1)) = 38$$

Question 15

A deposit is made into an interest-bearing account. If the balance $$B$$ after $$t$$ years is given by $$B = f(t)$$, and $$f(10) = 4000$$, what does this mean?

Accepted Answer

After 10 years, the balance is $$4000$$

Functions and Change: Foundations of Calculus (Section 1.1 Study Notes)

Guida di studio - Domande di pratica

Study guide - Flashcard