Writing Functions
Write it in y=mx+b form
m=1/2
b= -5
y=(1/2)x-5
What is the slope of line
y=3x-5
m=3
Is x=5 a function?
no
Add. (f+g)(x)
f(x)=3x+1
g(x)=2x-8
(f+g)(x)=5x-7
f(x)=3x2+2x+1
find f(3)
34
Write an equation parallel to the line y=5x-2, where b=9.
y=5x+9
Identify the slope of the parallel line of y=7x-5
7
What is the parent function of y=-x2+5
y=x2
Subtract. (f-g)(x)
f(x)=9x+8
g(x)=2x2+5x-2
-2x2+4x+10
f(x)=2x-1
Find f(x-2)
2x-5
Write an equation of a circle with the following:
r=5
center (2,3)
(x-2)2+(y-3)2=25
Identify the center of the circle:
x2+y2=9
(0,0)
no
Multiply the functions (fg)(x)
f(x)=2x+1
g(x)=7x+2
14x2+11x+2
f(x)=x2+3x-1
f(x-2)
x2-x-3
Write an equation that is perpendicular to y=(1/2)x-5, when b=4.
y=-2x+4
Identify the domain of the equation f(x)=(x-3)/(x+2)
all real numbers except when x=-2
Find the inverse of y=x-7
y=x+7
Divide and find domain. (f/g)(x)
f(x)=x2+1
g(x)=2x-1
(x2+1)/(2x-1)
All real numbers except when x=1/2
f(x)=2x2+2x-1
g(x)=x-5
Find f(g(x))
2x2-18x+39
Write a line that is perpendicular to the line of y=-3x+9, that runs through the point (6,5)
y=(1/3)x+3
Identify which lines are parrallel and whicg ones are perpendicular:
a. y=-2x+5
b. y=-2x-7
c. y=(1/2)x+6
parallel: a and b
perpendicular: a and c, b and c
What is the inverse function of y=x2 -5
y=sqrt(x+5)
Multiply (fg)(x)
f(x)=x2+3x-1
g(x)=4x+2
4x3+14x2+2x-2
f(x)=x2+5x-1
g(x)=3x-5
Find f(g(2))
5