Pretest

Question 1

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0 is less than or equal to x comma x is less than or equal to 5 ?

Revolt · Accepted Answer

Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. An exponential curve crosses the y-axis near 1 and rises steeply, reaching the top of the grid near x equals 1.5. A quadratic curve opens upward with a vertex at (0 comma 0) and rises more gradually, reaching the top of the grid near x equals 4.

Question 2

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0 is less than or equal to x comma x is less than or equal to 5 ?

Revolt · Accepted Answer

Image with description Coordinate plane with x- and y-axes labeled and a 1-unit grid. An exponential curve crosses the y-axis near 1 and rises steeply, reaching the top of the grid near x equals 1.5. A quadratic curve opens upward with a vertex at (0 comma 0) and rises more gradually, reaching the top of the grid near x equals 4.

Question 3

From x is equal to 0 to x is equal to 2 , which of the following best describes the growth of the two functions?

Revolt · Accepted Answer

y is equal to 5 x grows slower than y is equal to 5 to the x th power .

Question 4

What is the minimum y -value after which the exponential function will always be greater than the linear function?

Revolt · Accepted Answer

y is equal to 4

Question 5

Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?

Revolt · Accepted Answer

x is equal to 1 point 7 9 to x is equal to 3

Question 6

What is the minimum y -value after which the exponential function will always be greater than the linear function?

Revolt · Accepted Answer

y is equal to 4

Question 7

Which statement is true?

Revolt · Accepted Answer

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 is less than or equal to x comma x is less than or equal to 3 .

Question 8

Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

Revolt · Accepted Answer

x is greater than 2

Question 9

Considering only the domain shown on the graph, over which interval is the value of the exponential function greater than the value of the quadratic function?

Revolt · Accepted Answer

negative 0 point 5 is less than or equal to x comma x is less than 1

Question 10

Which statement best describes the growth rates of the functions?

Revolt · Accepted Answer

The exponential function grows faster than the quadratic function over two intervals; 2 is less than x comma x is less than or equal to 4 .

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