french6872
Answered

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



x

f(x)

−1

−11

0

−1

1

9

g(x)


g(x) = 5x + 1




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)

Verified Answer :

slope for f(x):
\(m=\frac{9-(-1)}{1-0}=10\)

Slope for g(x)
y = mx + b
y = 5x + 1
m = 5

The slope for f(x) is twice the slope of g(x).

B. f(x)'s y-intercept is -1 because y = -1 when x = 0. g(x)'s y-intercept is 1 because 1 is in the "b" spot in y = mx + b. g(x) has the greater y-intercept.

Related Questions