Factoring
Is it a Function?
Function Notation
Transformations
100
Factor f(x)=x2+3x+2
f(x)=(x+1)(x+2)
100
Is it a function?
{(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
100
Evaluate f(x)=-3x if x=2
What is -6?
100
If g(x)=f(x+3), what happened to the parent functin?
It moved left 3
200
Factor f(x)=x2-25
f(x)=(x-5)(x+5)
200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
200
Evaluate f(x)=2x+1 if x=-2
What is -3?
200
If g(x)=2f(x-1) what happened to the parent function?
It was vertically stretched by a factor of 2 and shifted 1 right
300
Factor f(x)=4x2-9
f(x)=(2x-3)(2x+3)
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
What is NO because x repeats?
300
Evaluate f(x)=-3 - x if x=6
What is -9?
300
If g(x)=f(3x)-4 what happened to the function?
It was horizontally compressed by a factor of 1/3 and shifted down 4
400
Factor f(x)=3x2-3x+90
f(x)=3(x+5)(x-6)
400
Is it a function?
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What is YES because it passes the Vertical Line Test?
400
Evaluate for x if f(x)=5
f(x)=25 + 4x
What is -5?
400
If g(x)=f(2x+2) what happened to the function?
It was horizontal stretched by a factor of 1/2 and shifted left by 1
500
Factor f(x)=6x2-11x+4
f(x)=(2x-1)(3x-4)
500
Is it a function?
What is NO because it does not pass the Vertical Line Test?
500
Evaluate for x if f(x)=-2
f(x)=-(4x+2)
What is 0
500
If g(x)=f(-2x+2) what happened to the function?
It was horizontal stretched by a factor of 1/2, shifted right by 1 and reflected over the y-axis