Functions and Graphs Quiz

Is the relation shown a function? Explain your answer.

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Are the following functions linear or nonlinear? Choose the correct responses.

• A - linear

• B - nonlinear

• A - nonlinear

• B - linear

Which function has a greater constant rate of change? Explain.

Function A: y = 10x – 3

Function B: (1,20), (2,15), (3,10), (4, 5), (5,0)

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How would you describe the graph of the function in interval 2?

• A) The graph of the function is increasing.

• B) The graph of the function is decreasing.

• C) The graph of the function is constant.

• D) The slope is positive.

The graph of a function is a line that passes through the points (0, 1) and (3, 10). Part A: Which shows how to find the rate of change for the function?

• A) 0 − 3 / 1 − 10

• B) 3 − 1 / 10 − 0

• C) 10 − 3 / 1 − 0

• D) 10 − 1 / 3 − 0

The graph of a function is a line that passes through the points (0, 1) and (3, 10). Part B: Write an equation in the form y = mx + b for this function.

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Raoul says that Function B has a greater initial value. Is Raoul correct? Justify your answer.

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A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.

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If the graph of a function passes through the point (4, 2) and has a slope of 3, what is the y-intercept?

• A) -10

• B) 0

• C) 2

• D) 14

What is the slope of the line that passes through the points (-2, -1) and (2, 3)?

• A) 1

• B) 2

• C) 1/2

• D) -1