Question

Please help!

The table below represents a linear function f(x) and the equation represents a function g(x):



x f(x)

−1 −3

0 0

1 3

g(x)


g(x) = 7x + 2



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).


Part B: Which function has a greater y-intercept? Justify your answer.

Answer 1

A) slope of f(x) = 3 , slope of g(x) = 7

B) y intercept of f(x) is 0 and g(x) is 2

So g(x) has greater y intercept

Explanation:

Lets find equation of f(x) using the given table

LEts take two points from the table (0,0) (1,3)

`slope = (y_2-y_1)/(x_2-x_1) = (3-0)/(1-0) = 3`

we use equation y=mx+b

where m is the slope and b is the y intercept

we got m = 3, we use (0,0) and find out b

y=mx+b

0 = 3(0) + b

so b=0

So equation for f(x)= 3x +0

slope =3 and y intercept = 0

For equation g(x) = 7x +2 , slope = 7 and y intercept = 2