Question

Write a rule for the linear function in the table. x f(x) –3 –1 0 2 3 5 6 8 Question 17 options: f(x) = x – 1 f(x) = x + 2 f(x) = 3x f(x) = x – 2

Answer 1

Table

x f(x)
–3 –1
0 2
3 5
6 8

1) slope, m

slope = m = Δy / Δx = [2 - (-1) ] / [ 0 - (- 3) ] = 3 / 3 = 1

2) y intercept, b

x=0 => y = 2 = b

3) slope - intercept form of the equation: y = mx + b

=> y = x + 2

Answer: f(x) = x + 2