Q: Given the interval $$x \u003c -2 or$$ $$x \\geq 5$$, what is the interval notation?

$$(-5cinfty, -2) \\cup [5, 5cinfty)$$

Question 1

Which of the following best describes the definition of a function?

Accepted Answer

A relation in which each input is paired with exactly one output.

Question 2

Given the table below, is the relation a function?

$$x$$ | $$1$$ | $$3$$ | $$1$$ | $$5$$
$$y$$ | $$2$$ | $$6$$ | $$9$$ | $$7$$

Accepted Answer

No, because the input $$x=1 is $$paired with two different outputs.

Question 3

What is the domain of the Median Income function shown in the study material?

Accepted Answer

The set of all states listed: Alabama, Indiana, Alaska, Colorado, Illinois, Massachusetts.

Question 4

Given the function $$f(x) = -5x + 1$$, what is $$f(-3)$$?

Accepted Answer

$$16$$

Question 5

Which of the following equations does NOT represent $$y as a $$function of $$x$$?

Accepted Answer

$$x = y^2$

Question 6

A vehicle's stopping distance is given in the table below:

Speed (MPH): $$30$$, $$40$$, $$50$$, $$60$$, $$70$$
Stopping Distance (ft): $$109$$, $$173$$, $$253$$, $$346$$, $$454$$

What is $$StopDistance(40)$$?

Accepted Answer

$$173$$

Question 7

Given the function $$Complement(x) = 90 - x$$, what is $$Complement(88)$$?

Accepted Answer

$$2$$

Question 8

Which of the following graphs passes the vertical line test and therefore represents a function?

Accepted Answer

A graph where every vertical line crosses the curve at most once.

Question 9

What is the interval notation for the solution set $$-4 \u003c x \leq 8$$?

Accepted Answer

$$(-4, 8]$$

Question 10

If $$f(x) = |x + 1|$$, what is $$f(-3)$$?

Accepted Answer

$$2$$

Question 11

Given the function $$f(x) = -5x + 1$$, what is $$-f(x+3)$$?

Accepted Answer

$$5x + 16$$

Question 12

Which of the following best describes the range of the function $$y = x^2$ - 3$$?

Accepted Answer

$$[-3, \infty)$$

Question 13

A real-world scenario: The function $$W(t)$$ models the average American's weight gain in pounds after $$t$$ years of always ordering the larger portion. If $$W(5) = 12$$, what does this mean?

Accepted Answer

After 5 years, the average American will have gained 12 pounds.

Question 14

Given the interval $$x \u003c -2 or$$ $$x \geq 5$$, what is the interval notation?

Accepted Answer

$$(- 5cinfty, -2) \cup [5,  5cinfty)$$

Question 15

Suppose the function $$StopDistance(x)$$ gives the stopping distance in feet for a car traveling at $$x$$ mph. If $$StopDistance(70) = 454$$, what is the meaning of $$StopDistance(70) = 454$$?

Accepted Answer

A car traveling at 70 mph requires 454 feet to stop.

Question 16

Which of the following is the correct interval notation for $$x \u003e -1$$?

Accepted Answer

$$(-1,  5cinfty)$$

Question 17

If the function $$f(x) is $$defined by the graph below and $$f(-1) = 2$$, what does this mean?

Accepted Answer

When $$x = -1$$, the output of the function is $$2.$$

Question 18

Which of the following best describes the range of the Median Income function from the study material?

Accepted Answer

The set of all median incomes listed: $$55, 65, 72, 83$$

Question 19

Given the function $$Complement(x) = 90 - x$$, what is the domain of this function if $$x$$ represents the measure of an angle in degrees?

Accepted Answer

$$[0, 90]$$

Functions and Their Representations: College Algebra Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard