Question

Which of the following rules could represent the function shown in the table?

f(x) = -2x
f(x) = 2x-1
f(x) = 2x+1​

Answer 1

f(x) = 2x+1​

Explanation:

Equation in slope intercept form y = mx + b where m = slope b = y-intercept

To find slope ,

m = (y2-y1)/(x2 - x1)

m = (3 - 1) / (1 - 0)

m = 32/1

m = 2

y-intercept b = 1

In this case y = 2x + 1 or f(x) = 2x+1​