1. Which of the following statement is true about the function y=−|x−1|

Question

A. The function has a vertex at (−1, 0) .
B. The function has a y-intercept at (0,−1) .
C. The function is increasing on the interval (−∞,−1) and decreasing on the interval (−1, ∞) .
D. The function is positive on the interval (−∞, 1) and negative on the interval (1,∞) .
2. Identify the x-intercept(s) and vertex of the function y=1−1/3|x+3|
The function has x-intercepts at---------- while it has a vertex at--------------
(6, 0) and (0, 0)
(-6, 0) and (0, 0)
(3, 1) .
(3, -1) .
(-3, 1) .
(-3, -1) .
3. What is the intersection of the ranges (where the ranges overlap) for the functions f(x)=|2x|−4 and g(x)=−2x−4 ?(1 point)
A. [−4, ∞)
B. (−2, ∞)
C. (−4, ∞)
D. [−2, ∞)
answer all

Answer 1

1. C. The function is increasing on the interval (-∞,-1) and decreasing on the interval (-1,∞).

2. (-6, 0) and (0, 0)

3. B. (-2, ∞)