Question

80 points math question! please explain in simple terms :)

Please make a graph also. The main reason I'm asking this question for such high points is for you to explain your answer and how you got it. I really want to understand.

Answer 1

The graph would be something like this.

Explanation:

The domain and range would be (-∞, +∞)

This is because, the function f(x) is valid for any of the values between (-∞, +∞)

Hope it helps.

Answer 2

An absolute value function has a graph that is V shaped.

The domain is the input (x) value, which can be any real number, so the domain is (-∞,∞)

The range starts at the vertex and goes to infinity.

To find the vertex, set the absolute value part of the equation to 0 and solve for x:

x+3 = 0. x = -3

Now replace x with -3 and solve the full equation:

|-3 +3|-1 = -1

The vertex becomes (-3,-1)

The range is the output value ( Y) , so the range would be [-1,∞)

See attached picture for graph: