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

If you want to learn more, you can read:

link

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.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.