multi-step
solve 3x+5=2x+15
x=10
f(x)=2x+3 find f(4)
f(4)=11
what are the names for x?
name 3
input, domain, independent variable
what is slope?
the rate of change
3x+4=2x+10
x=6
4(x-2) =2(x+3)+6
x=10
f(x)=x^2-4x+4 find f(2)
f(2)=0
what are names for the y?
name 3
output, range, dependent variable
what do positive slopes look like?
they come from the left
5x-7=3x+9
x=8
5(x+1)-3(x-2) = 4x+7
x=2
f(x)=x^3-3x^2+3x-1 Find f(1)
f(1)=0
what is a relation?
sets of ordered pairs
what do negitave slopes look like?
coming from the right
4x+5=6x-3
x=4
6x -4(2-x)=3(x=4)+2
x=3.14
f(x)=|x-5| find f(2)
f(2)=3
How do you determine if a set of numbers is not a function?
must have repeats in the x column
what do zero slopes look like?
flat line
7x-2=5x+6
x=4
2(3x-1)+4=5(x+2)-3
x=5
f(x)=5x-2 find f(6)
f(6)=28
How do you determine if a set of data is a function?
There must be no repeats in x column or the input column
what do undefined slopes look like?
up and down
9x+3=7x+15
x=6