Answer/Step-by-step explanation:
Given:
f(x) = 2x + 2
Domain = {-5, -1, 2, 3}
To write the range of f using set notation, substitute each domain value into f(x) = 2x + 2 to get each corresponding range value that will make up the set.
Thus:
✔️f(-5) = 2(-5) + 2
= -10 + 2
f(-5) = -8
✔️f(-1) = 2(-1) + 2
= -2 + 2
f(-1) = 0
✔️f(2) = 2(2) + 2
= 4 + 2
f(-1) = 6
✔️f(3) = 2(3) + 2
= 6 + 2
f(3) = 8
Range of f using set notation = {-8, 0, 6, 8}
✔️Graph f by plotting the domain values on the x-axis against the corresponding range values on the y-axis as shown in the attachment below:
*See attachment for the graph of f
