Functions and linear relations

Question

The function f(x) = 3 - 2x^2 , has a domain {-6, -4, 0, 2, 5} which of the following is an element of the range of the function?

A.) 35

B.) 27

C.) 1

D.) -29

Answer 1

f(x) = 3 - 2x²

Domain {-6, -4, 0, 2, 5}

 

The domain is all the possible input values for x

The range is all the possible output values for f(x)

 

Put in the domain values given to determine the

output values for the range.

 

f(-6) = 3-2(-6)²= 3-2(36) = 3-72 = -69

f(-4) = 3-2(-4)² = 3-2(16) = 3-32 = -29  This is Answer D..

 

If you are supposed to only have one answer then it is D.

 

If you wish to check the output values of the other

values from the domain just do as I did with the first two.