Question

Please help!!!

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

x: - 1, 0, 1
f(x): -3, 0, 3

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) is 3

B. g(x) has greater y-intercept

Explanation:

A.slope of f(x): m = (y2-y1)/(x2-x1)

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

then y = mx + b => y = 3x + b

then substituting (1,3) => 3 = 3(1) + b => 3 = 3 + b => b = 0

so y = 3x

slope of f(x) is 3

using y = mx + b

then g(x) = 7x + 2 => slope of g(x) is 7

B. b is the y-intercept

so for f(x) = 3x => b is 0

and for g(x) = 7x + 2 => b is 2

so g(x)'s y-intercept is 2 which is great than f(x)'s