We included HMH Into Math Grade 8 Answer Key PDF Module 6 Review to make students experts in learning maths.

Vocabulary

domain
function
linear
nonlinear
range
relation

For Problems 1—6, choose the correct term from the box to complete each sentence.

Question 1.
A ____ is any set of ordered pairs.
Answer: A relation is any set of ordered pairs.
A relation is a set of ordered pairs and the first component in the set of ordered pairs is called the domain.

Question 2.
The ___ of a function is the set of all possible input values.
Answer: The domain of a function is the set of all possible input values.

Question 3.
A function whose graph is not a straight line is ___.
Answer: A function whose graph is not a straight line is nonlinear.

Question 4.
The ____ of a function is the set of all possible output values.
Answer: The range of a function is the set of all possible output values.

Question 5.
A ____ is a relation with exactly one output for each input.
Answer: A function is a relation with exactly one output for each input.

Question 6.
A function whose graph is a straight line is ____.
Answer: A function whose graph is a straight line is linear.

Question 7.
What is y = mx + b, and what do m and b represent?
y = mx + b
m represents slope and b represents

Concepts and Skills

Question 8.
Use The graph shows the temperature in a refrigerator over time, where x is the time in hours and y is the temperature in degrees Celsius. Write the equation of the line shown in the graph. State what strategy and tool you will use to answer the question, explain your choice, and then find the answer. Question 9.
Which of these functions are linear? Select all that apply.
A. y = $$\frac{4}{x}$$
B. y = -4x + 1
C. y = 2x3 + 3
D. y = 2x + 8
E. y = 4 – $$\frac{2}{3} x$$
F. y = 5(x – 0.6)

Question 10.
On the coordinate plane, draw a linear function that increases at a constant rate. Question 11.
Is the relation shown in the graph a function? Explain. Question 12.
The table shows the total cost t of owning a smartphone for m months. Write an equation that represents this function. Question 13.
Which function has the greatest rate of change?
A. B. y = 3x + 7
C. D. You pay an initial fee of $10 and then$1.00 per week for x weeks.

Question 14.
The equation y = 5x – 30 models a scuba diver’s elevation in feet y after x minutes. Based on the equation, which statement is true?
A. The diver starts at sea level and reaches a depth of 30 feet after 5 minutes.
B. The diver starts at the ocean floor and reaches a depth of 5 feet after 30 minutes.
C. The diver starts 30 feet below sea level and ascends 5 feet per minute.
D. The diver starts 5 feet above sea level and descends 30 feet per minute.
D. The diver starts 5 feet above sea level and descends 30 feet per minute.

Question 15.
It takes Zeke 45 minutes to walk 1.5 miles from his house to the library. He starts out walking fast and then stops for 10 minutes to talk to a friend. Then he continues on at a slower rate. Draw segments to complete a possible graph of Zeke’s walk.   