Question

List the following in order from least steep to most steep.

f(x)= -3/4x
g(x)= -5x
h(x)= 5/7x
j(x)= 11/3x

Answer 1

• h(x), f(x), j(x), g(x)

Explanation:

Given functions

• f(x)= -3/4x
• g(x)= -5x
• h(x)= 5/7x
• j(x)= 11/3x

To compare steepness we'll compare absolute values of slopes

The steepness increases as the slope increases

The slopes are

• 3/4, 5, 5/7, 11/3

Comparing the fractions

• 3/4 = 21/28, 5/7 = 20/28, so 3/4 > 5/7

And

• 11/3 < 4

So the order is

• 5/7 < 3/4 < 11/3 < 5

As functions, the order is

• h(x), f(x), j(x), g(x)