You want to graph the parent absolute value function, so you create a table of values to plot on a coordinate plane. Which one of the following points is on the graph?(1 point)

Question

Responses

(−5,5)
left parenthesis negative 5 comma 5 right parenthesis

(5,−5)
left parenthesis 5 comma negative 5 right parenthesis

(0,5)
left parenthesis 0 comma 5 right parenthesis

(−5,−5)

Answer 1

The parent absolute value function is defined as \( f(x) = |x| \).

To determine which of the given points is on the graph of this function, we can evaluate the absolute value function at the x-coordinates of each point and check if the corresponding y-coordinate matches.

1. For the point \((-5, 5)\): \[ f(-5) = |-5| = 5 \] This point is on the graph.

2. For the point \((5, -5)\): \[ f(5) = |5| = 5 \] This point is not on the graph.

3. For the point \((0, 5)\): \[ f(0) = |0| = 0 \] This point is not on the graph.

4. For the point \((-5, -5)\): \[ f(-5) = |-5| = 5 \] This point is not on the graph.

The only point that is on the graph of the parent absolute value function is \((-5, 5)\).