Question

Given the function g(x)= -5x + 3, what is the range when the domain is {-3,-1,0,2,3}?

A. {-24, -16, 0, 8, 24}
B. {-18, -8, -3, 7, 12}
C. {-12, -7, 3, 8, 18}
D. {0, 1/5, 3/5, 4/5, 6/5}

Answer 1

Using function concepts, it is found that it's range is of:

C. {-12, -7, 3, 8, 18}

• The domain of a function is the set that contains all possible input values.
• The range of a function is the set that contains all the values of the function for the values of the domain.

In this problem, the function is:

$g(x) = -5x + 3$

The domain is: {-3,-1,0,2,3}

The range is given by the values of the function for these values of the domain, thus:

$g(-3) = -5(-3) + 3 = 15 + 3 = 18$

$g(-1) = -5(-1) + 3 = 5 + 3 = 8$

$g(0) = -5(0) + 3 = 0 + 3 = 3$

$g(2) = -5(2) + 3 = -10 + 3 = -7$

$g(3) = -5(3) + 3 = -15 + 3 = -12$

Thus, the range is given by:

C. {-12, -7, 3, 8, 18}

A similar problem is given at https://brainly.com/question/2145599