Question

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

x f(x)
−1 −5
0 −1
1 3

g(x)


g(x) = 4x + 3



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

slope-intercept line equationis:
\[y=mx+b\]
m= slope
b=y-intercept

to find m or slope.
\[m=\frac{ y_2-y_1 }{ x_2-x_1 }\]

y can replace f(x) or g(x)

A) compare slopes?

look at g(x)=4x+3 what is the slope??

Answer 2

slope is 4 ?

Answer 3

and to find f(x) plug in your table information (x,f(x)) or (x,y)
into the slope formula (-1,-5) and (1,3)

-5-3/-1-1 =slope of f(x) or y

B) let x be 0 in g(x)=4(0)+3

what is the y intercept??
and from the table for f(x)
what is the value when x=0

Answer 4

thats right slope is 4 and for f(x)??

Answer 5

f(x) slope is also 4

Answer 6

slopes are both 4 so A is done

nos just do your y intercepts