Question

Given the following absolute value function sketch the graph of the function and find the domain and range.

Answer 1

Step-by-step explanation:

The given absolute value expression is

$f(x) = |x + 3| - 1$

This absolute value function is of the form

$f(x) = |x + h| + k$

where (h,k)=(-3,-1) is the vertex.

This function opens upwards, hence the the minimum point is (-3,-1)

The domain is the values of x for which the function is defined.

The domain is all real numbers.

The range is the values of y for which x is defined.

The is y≥-1 because the minimum value is -1.

The graph is shown in attachment.