What kind of function is being illustrated by f(x)=|2x³-3x|+5?

We want to see which type of function

From the comments, we can see that the options are:

The correct option is d: Absolute Value Function

To analyze the type of function that we have, we need to see the main operation that acts on the function.

Here we have:

f(x)=|2x³-3x|+5

Note that all our variables are inside the absolute value operation.

Then we can conclude that this an absolute value function.

Then the correct option is d: Absolute Value Function

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Option D: Absolute value function

Step-by-step explanation:

The absolute value of a number is the distance of the number from 0 to the left or right on the number line.

We are given the function;

f(x) = |2x³ - 3x| + 5

This function contains an absolute value symbol which is |2x³ - 3x|.

This function is thus illustrated by an an absolute value function because an absolute value function will be one that contains algebraic expressions within absolute value symbols.

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step-by-step explanation: