Answer:
The vertex is at (-1,-7).
The answer to 2 is A.
Step-by-step explanation:
You want to make the absolute value be |0|, and you make that by assuming a x that is the opposite of the number that accompanies it.
In this case:
[tex] |x + 1| [/tex]
Because:
[tex] |( - 1) + 1| = 0[/tex]
Then:
[tex]x = - 1[/tex]
And, by making the absolute value equal 0 when finding x, you're left with:
[tex]y = - 7[/tex]
The easiest way is to graph, or make a table of values and see where the graph points.
I graphed it for you.
You can clearly see how the vertex, at (-1,-7) is the lowest point, telling you that the range is from that point upwards, or
[tex]y \geqslant - 7[/tex]
Then, because you're dealing with absolute values, which never bend and make perfect 90° angles at their vertex, it is safe to assume both lines never touch and continue to opposites ends of the x-axis, or (-infinity, infinity) which is your domain.
Answer:
1. (-1,-7)
2. A. domain (-infinity, infinity) range (f(x) greater than equal to -7)
Step-by-step explanation:
f(x) = |x + 1| - 7
Has a vertex at:
(-1,-7)
The domain is all real values of x
Range is greater than/equal to -7
