Question

!!!TIMED 30PTS!!! The graphs of the quadratic function y=2x^2 and the exponential function y=2^x 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 1

The value of 2^x is greater than the value of 2x^2 wherever the graph of 2^x is ABOVE the graph of 2x^2.

For the answer choices you are given, 2^x is above 2x^2 from x = -0.5 to x = 1. The answer is the third choice.

Answer 2

The option third -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):

y = 2x²

An exponential graph of a function:

y = 2×

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

Learn more about the function here:

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