Question

Given the following absolute value function sketch the graph of the function and find the domain and range. ƒ(x) = |x + 3| - 1

Answer 1

Answer:

The domain is all real numbers

The range is all real numbers greater than or equal to -1−1

Step-by-step explanation:

we have

f\left(x\right)=\left|x+3\right|-1f(x)=∣x+3∣−1

we know that

Using a graphing tool

see the attached figure

The vertex of the function is the point (-3,-1)(−3,−1)

The domain of the function is the interval-------> (-∞,∞)

All real numbers

The range of the function is the interval-------> [-1,∞)

All real numbers greater than or equal to -1−1