Question

Over which interval is the graph of the parent absolute value function decreasing?.

Answer 1

The graph of the parent absolute value function decreases over (–∞, 0) interval.

What is the parent absolute value function?

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Recall that the absolute value of a number is its distance from 0 on the number line.

The absolute value function is f(x) = |x| is defined as,

$\rm f(x)= x \ if\ x > 0\\\\f(x)= 0 \ if\ x=0\\\\ f(x)=- x \ if\ x < 0$

Observe that the graph is V-shaped.

• The vertex of the graph is (0,0).

• The axis of symmetry (x =0 or y-axis) is the line that divides the graph into two congruent halves.

• The domain is the set of all real numbers.

• The range is the set of all real numbers greater than or equal to 0. That is y ≥0.

• The x-intercept and the y-intercept are both 0.

Hence, the graph of the parent absolute value function decreases over (–∞, 0) interval.

To know more about the Absolute function click the link given below.

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