Question

Choose the coefficient closest to zero.Choose the coefficient with the least value.

Answer 1

To find the graph that represents an absolute value function with a coefficient of least value, we need to understand the following:

An absolute value function with a coefficient of 1 takes the form:

$y\text{ = |x|}$

The graph of this function is shown below:

If the function is reflected across the x-axis, it becomes :

$y\text{ = -|x|}$

Its graph is shown below:

For any absolute value function:

$y\text{ = a|x|}$

If a > 1 , the function is stretched,

if a < 1 and a >0, the function is dilated

Using the information provided above:

The coefficient with the least value is D

The coefficient closest to zero is C