Question

Use the table to answer the question.
x y
0 3
1 3+1/2
2 4
3 4+1/2
Which of the following equations describes the function in the table using function notation?

(1 point)
Responses

f(x)=3x+1/2
f of x is equal to 3 x plus 1 half

f(y)=3x+1/2
f of y is equal to 3 x plus 1 half

f(y)=1/2x+3
f of y is equal to 1 half x plus 3

f(x)=1/2x+3
f of x is equal to 1 half x plus 3
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Answer 1

f(x) = (1/2)x + 3

Check: x = 0 → f(0) = 3; x = 1 → f(1) = 3 + 1/2; x = 2 → f(2) = 4, which matches the table.