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.

Question

Mathematics

Lilyana

10 September, 17:02

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.

+3

Answers (1)

Know the Answer?

Lauryn Houston · Answer 1

For f (x), slope = (y2 - y1) / (x2 - x1) = (-1 - (-5)) / (0 - (-1)) = (-1 + 5) / (0 + 1) = 4/1 = 4.

For g (x), g (x) = mx + c; where m is slope. Hence slope is 4.

For f (x), y-intercept is - 1 and for g (x), y-intercept is 3

Therefore, g (x) has greater y-intercept.