Functions/Slopes/Domain/Range

The x values in a relation make up the __________

• range

• x-intercepts

• domain

• y-intercepts

The y values in a relation make up the ____________

• x-intercepts

• y-intercepts

• range

• domain

In the linear equation

y = mx + b,

what does m stand for?

• Slope

• y-intercept

• Solution

• x-intercept

Identify the following as vertical, horizontal or neither

A line that has an undefined slope

• Vertical

• Horizontal

• Neither

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

When every y value in a relation has exactly one x value, this is called a ____________.

• function

• relation

• one-to-one function

• one-to-one relation

What is the slope of the graph?

• 1/2

• -1/2

• 2

• -2

The slope ratio is what?

• run over bottom

• down over left

• rise over run

• right over top