SOLUTION: Directions: Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not. Write the degree of the function. For linear functions

Algebra ->  Equations -> SOLUTION: Directions: Determine whether each is a linear function or not. Check Yes if it is a linear function and No if it is not. Write the degree of the function. For linear functions      Log On


   

Question 1176036: Directions: Determine whether each is a linear function or not.
Check Yes if it is a linear function and No if it is not. Write the degree
of the function. For linear functions, identify the slope m and the y
intercept b.
hi, in our ans sheet the problem is written in table so here's the choices that I need to put a check
*Degree,Yes,No,m,b
here's the function...
1. f(x)=5x+1
2. f(x)=-6x-7
3. f(x)=3x
4. f(x)=-4
5. f(x)=5x-3
6. f(x)=2(x-3)
7. f(x)=-(x+5)
8. f(x)=-4x2
9. f(x)=10x2+7x
10.f(x)=3x2-5x+1
Thank you
Found 3 solutions by Solver92311, josgarithmetic, greenestamps:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Is there some part of the instruction: "One question per post" that you are incapable of comprehending, or do you just think that rules don't apply to you?

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The functions which have the term of x to the power of 1 only and those which the function is a constant, are the linear ones; .

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I'm sorry for the rude response from the other tutor. Some of the tutors here far too unforgiving regarding the rule "one question per post".

Your post is not several different questions; it is one question with several parts.

It would make no sense at all to ask you to post each of the examples in your post separately.

I won't answer the questions or fill in your table for you; you won't learn anything if I do that. All you need to know is this:

(1) The equation is linear if it is a constant (e.g. example 4) or a constant with a variable to the first power. It is not linear if it contains higher powers of x. I assume the "x2" in examples 8-10 is supposed to be "x squared". Use "^" to denote an exponent -- e.g. "-4x^2" instead of just "-4x2".

Since examples 8-10 all contain an "x^2", they are not linear.

(2) If the equation is linear and you want to find the slope and y-intercept, you need to put the equation in slope-intercept form, y=mx+b (or, in your notation, f(x) = mx+b). In particular, in examples 6 and 7 you need to get rid of the parentheses before you can find the slope and y-intercept.