Comparing Exponential, Linear, and Quadratic Growth — Quiz

Question 1

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 2

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 .

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

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 5

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 2 point 5 is less than or equal to x comma x is less than or equal to negative 0 point 7 5

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

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 (negative 1 comma 2) and (1 comma 2). The curve goes through (0 comma 1), (1 comma 2), (2 comma 4), and (3 comma 8).

Question 8

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 9

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 10

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

Comparing Exponential, Linear, and Quadratic Growth — Quiz Answers

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