Comparing Exponential, Linear, and Quadratic Growth — Quiz

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 On a coordinate plane, the x axis lists negative 1 to 5 by 1 unit. The y axis lists negative 2 to 8 by 1 unit. The parabola opens up, has vertex at the origin, and passes through (2 comma 2) and (4 comma 8). The curve goes through (0 comma 1) and (1 comma 4).

Question 2

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 3

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 4

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 5

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 6

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 7

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

Comparing Exponential, Linear, and Quadratic Growth — Quiz Answers

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