Answer:
The statements that determine the characteristics of the absolute value parent function is:
A. It has one x-intercept.
D. It is v-shaped.
Step-by-step explanation:
The parent absolute function is given by:
[tex]y=|x|[/tex]
- We see that the graph of the function is a v-shaped graph such that the graph passes through (0,0).
- x-intercept is the x-value of the point where the y-value is zero.
i.e. the x-value of the point where the graph touches the x-axis.
Hence, by looking at the graph we observe that:
The x-intercept is: x=0
- Also, the function first decreases continuously from x= -∞ to x=0.
and then it increases from x=0 to x=∞.
Hence, the graph is neither a strictly decreasing graph nor a strictly increasing graph.
- Also, since the graph is not a linear graph.
Hence, the rate of change can't be constant.
