Question

What is the range of the function f(x) = 6x + 5 for the domain {–1, 0, 1, 2, 3}?

(Please show your work)

Answer 1

The range of the function f(x) = 6x + 5 for the domain {–1, 0, 1, 2, 3} is {-1, 5, 11, 17, 23}.

Step-by-step explanation:

To find the range of the function f(x) = 6x + 5 for the domain {–1, 0, 1, 2, 3}, we need to substitute each value of x into the function and find the corresponding outputs (y-values).

For x = -1: f(-1) = 6(-1) + 5 = -6 + 5 = -1

For x = 0: f(0) = 6(0) + 5 = 0 + 5 = 5

For x = 1: f(1) = 6(1) + 5 = 6 + 5 = 11

For x = 2: f(2) = 6(2) + 5 = 12 + 5 = 17

For x = 3: f(3) = 6(3) + 5 = 18 + 5 = 23

The range of the function f(x) = 6x + 5 for the given domain is {-1, 5, 11, 17, 23}.

Answer 2

f(x)=6x+5
f(x)=6(-1)+5
f(x)=-6+5
f(x)=-1

f(x)=6(0)+5
f(x)=0+5
f(x)=5

f(x)=6(1)+5
f(x)=6+5
f(x)=11

f(x)=6(2)+5
f(x)=12+5
f(x)=17

f(x)=6(3)+5
f(x)=18+5
f(x)=23

Domain: {-1, 5,11,17, 23}