College

The graphs of the quadratic function [tex]y=2x^2[/tex] and the exponential function [tex]y=2^x[/tex] are shown below. 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?

Answer :

-0.5 ≤ x ≤ 1 is correct because in this domain exponential function has a greater value than the value of the quadratic function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function(parabola):

[tex]y = 2x^2[/tex]

An exponential graph of a function:

[tex]y = 2x[/tex]

From the graph:

In the domain -0.5 ≤ x ≤ 1

The exponential function has a greater value than the value of the quadratic function.

Thus, -0.5 ≤ x ≤ 1 is correct because in this domain exponential function has a greater value than the value of the quadratic function.

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