Mathematical Modeling — Test Answers

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What are the domain and range of the step function?

domain = {all real numbers}, range is equal to dot dot dot minus 4 comma negative 1 comma 2 comma 5 comma dot dot dot

domain = {all real numbers}, range = {all real numbers}

domain = {all integers}, range = {all real numbers}

domain is equal to dot dot dot minus 5 comma negative 2 comma 1 comma 4 comma dot dot dot , range is equal to dot dot dot minus 4 comma negative 1 comma 2 comma 5 comma dot dot dot

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Which statement best compares the two functions?

The domain and range of both functions contain only positive numbers.

Neither function A nor function B has an x -intercept.

Neither function A nor function B has a y -intercept.

The domain and range of both functions contain only positive numbers and zero.

How do the functions in the tables compare?

Since the maximums occurred at the same x -value, the rockets followed the same path.

Since the x -intercepts are the same for both functions, the rockets followed the same path.

The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.

The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.

What is the range of the absolute value function?

f of x is less than or equal to 1

f of x is greater than or equal to negative 1

f of x is less than or equal to 4

f of x is greater than or equal to negative 4

What is the vertex of the absolute value function?

open paren 4 comma 1 close paren

open paren 4 comma negative 1 close paren

open paren 1 comma 4 close paren

open paren 1 comma negative 4 close paren

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Mathematical Modeling — Test Answers

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