The two x-intercepts of the absolute value function are x = -1 and x = -3.
Here we have the absolute value function:
f(x) = 5*|x + 2| - 5
To find the x-intercepts, we need to solve:
f(x) = 0 = 5*|x + 2| - 5
Then we need to solve:
0 = 5*|x + 2| - 5
5 = 5*|x + 2|
5/5 = |x + 2|
1 = |x + 2|
That equation can be decomposed in two:
x + 2 = 1
x + 2 = -1
Then the two solutions are:
x = 1 -2 = -1
x = -1 - 2 = -3
The two x-intercepts are x = -1 and x = -3.
If you want to learn more about x-intercepts:
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