Question

Using a table, find the range of the function for the given domain:
f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3}
OA.y=(-5, 1, 11, 25}
OB. y = {4, 2, 0, -3)
OC. y =(-11,-9, -7,-4}
OD.y = (25, 1, -7, 11)

Answer 1

 The range of the function f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3} is y = (25, 1, -7, 11). Option D is the correct answer.

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we substitute an x value, this set of values is what the function outputs. The y values are those.

In light of the query

x VS F(x) = 2x² -7

-4     F(4) = $2(-4)^2 -7$ = 25

-2     F(-2) = $2(-2)^2 -7$ = 1

0      F(0) = $2(0)^2 -7$ = -7

3      F(3) = $2(3)^2 - 7$ = 11

∴ Option D, y = (25, 1, -7, 11)

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