Respuesta :

Answer:

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.

facundo3141592

We want to see which type of function

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

  • a. Rational Function
  • b. Constant Function
  • c. Greatest Integer Function
  • d. Absolute Value Function

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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