Respuesta :

gmany

Answer:

The range: {0, 10, 42}

Step-by-step explanation:

Put the values of x from the domain to the equation of the function

f(x) = 2x² - 8

for x = -2

f(-2) = 2(-2)² - 8 = 2(4) - 8 = 8 - 8 = 0

for x = 3

f(3) = 2(3)² - 8 = 2(9) - 8 = 18 - 8 = 10

for x = 5

f(5) = 2(5)² - 8 = 2(25) - 8 = 50 - 8 = 42

The range of the function is (0,16.5)

How to determine the range from the domain

The function is given as:

f(x)=2x^2-8

And the domain is:

(-2,3.5)

Calculate f(-2)

f(-2)=2(-2)^2-8  = 0

Calculate f(3.5)

f(3.5) = 2(3.5)^2-8 = 16.5

This means that the corresponding y values are:

(0,16.5)

Hence, the range of the function is (0,16.5)

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https://brainly.com/question/2264373