Question

(03.03 MC)
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). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answer 1

Step-by-step explanation:

Given:

$\begin{array}{|c|c|}\cline{1-2}x&f(x)\\\cline{1-2}-1&-3\\\cline{1-2}0&0\\\cline{1-2}1&3\\\cline{1-2}\end{array}$

$g(x) = 7x + 2$

To find:

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.

Solution:

On inspection of values of x and f(x) it is clear that f(x) is a linear function

i.e.

$f(x) = x$

1)Slope of f(x) and y-intercept of f(x):

Convert the function in slope intercept form and calculate the slope.

Slope intercept form:

$y = mx + C$

Here,

$f(x) = x \\ \\ = > y = x \\ \\ = > y =1. x + 0.C \\ \\ = > \bold{\green{m = 1}}$

Slope of f(x)=1,

y-intercept of f(x)=(0,0)

2) Slope and y-intercept of g(x):

$g(x) = 7x + 2 \\ \\ = >y = 7x + 2 \\ \\ \bold{\blue{m=7}}$

Slope of g(x)=7

Y-INTERCEPT of g(x) =(0,2)

Part A:

Slope of f(x) is 1 and slope of g(x) is 7.

Part B:

g(x) has a greater y-intercept.

Hope it helps you.

To learn more on brainly:

1)find the slope of line x/3+y/2=1

https://brainly.in/question/10804616=question