Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Absolute Value Function

Given the absolute value function y = | x |, do A through E.

A. Determine if the function is even, odd, or neither.

B. Find the intercepts.

C. Find the domain and range.

D. Find local maximum and local minimum, if any.

E. Graph the function.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: Absolute Value Function

Given the absolute value function y = | x |, do A through E.

A. Determine if the function is even, odd, or neither.

B. Find the intercepts.

C. Find the domain and range.

D. Find local maximum and local minimum, if any.

E. Graph the function.

You've posted a lot of questions, all asking for the same, just with different functions.

I'll go through what to do for this one.  Hopefully, you can then do the rest yourself.

A  Try positive and negatives separately here as the absolute function depends on that.

If x is positive, say + 3, f(-x) = |-x| = x , 3 in the example.  So this is an even function.

B What is y when x = 0 and what is x when (if) y = 0

C Are there any x values that need to be excluded? When x = 0 , y = o. For all other x values y is positive. That fixes the range.

D There is a value of x that gives a minimum.  As x tends to infinity so does y so there's no maximum.

E These answers should enable you do make a sketch. If you have difficulty try substituting some x values.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Absolute Value Function

Given the absolute value function y = | x |, do A through E.

A. Determine if the function is even, odd, or neither.

B. Find the intercepts.

C. Find the domain and range.

D. Find local maximum and local minimum, if any.

E. Graph the function.

You've posted a lot of questions, all asking for the same, just with different functions.

I'll go through what to do for this one.  Hopefully, you can then do the rest yourself.

A  Try positive and negatives separately here as the absolute function depends on that.

If x is positive, say + 3, f(-x) = |-x| = x , 3 in the example.  So this is an even function.

B What is y when x = 0 and what is x when (if) y = 0

C Are there any x values that need to be excluded? When x = 0 , y = o. For all other x values y is positive. That fixes the range.

D There is a value of x that gives a minimum.  As x tends to infinity so does y so there's no maximum.

E These answers should enable you do make a sketch. If you have difficulty try substituting some x values.

Bob

This is all I needed to do the rest on my own. I thank you again.

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Absolute Value Function

Given the absolute value function y = | x |, do A through E.

A. Determine if the function is even, odd, or neither.

B. Find the intercepts.

C. Find the domain and range.

D. Find local maximum and local minimum, if any.

E. Graph the function.

You've posted a lot of questions, all asking for the same, just with different functions.

I'll go through what to do for this one.  Hopefully, you can then do the rest yourself.

A  Try positive and negatives separately here as the absolute function depends on that.

If x is positive, say + 3, f(-x) = |-x| = x , 3 in the example.  So this is an even function.

B What is y when x = 0 and what is x when (if) y = 0

C Are there any x values that need to be excluded? When x = 0 , y = o. For all other x values y is positive. That fixes the range.

D There is a value of x that gives a minimum.  As x tends to infinity so does y so there's no maximum.

E These answers should enable you do make a sketch. If you have difficulty try substituting some x values.

Bob

I edited the other posts.