Respuesta :
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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