Evaluating Functions
Am I a function?
Domain and Range
Composite Functions
100
Find f(-6) when
f(x)=-x+6.
12
100
This is NOT a function
100
Find the Domain and Range
{(-2, 4), (3, 2), (2, 10)}
Domain: {-2, 3, 2}
Range: {4, 2, 10}
100
f(x)=2x+5 and g(x)=8-2x
Find f(g(3))
9
200
Find h(3c) when
h(x)=9x-1
27c-1
200
This IS a function
200
Find the Domain and Range
Domain: {-3, -2, 0, 2, 3}
Range: {-6, -5, -2, 3, 5}
200
f(x)=-3x+1 and g(x) = x2-5
Find f(g(4))
-32
300
Find g(2d) when
g(x)=2x2+7
8d2+7
300
Is this a function and why?
This is NOT a function
300
Find DOMAIN:
Domain: (-5, 4]
Range: (-2,3]
300
f(x)=-3x+1 and g(x) = x2-5
Find g(f(4))
116
400
Find f(x+h) when
f(x)=x2-5x
x2+2xh+h2-5x-5h
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
This is NOT a function
400
Find the Domain and Range
Domain: [-5, 8]
Range: [-3, 2]
400
f(x)=4x+1 and g(x)=-2x-9
Find f(g(x))
-8x-35
500
Find f(x+h)-f(x) when f(x)=x2+2x+1
h2+2xh+2h
500
Does the following table represent a function?
x y
4 2
3 2
6 8
2 9
5 1
This IS a function
500
Find the Domain and Range:
Domain: [-2, ∞)
Range: [-1, ∞)
500
f(x)=6x+2 and g(x)=2x2-3
Find g(f(x))
72x2+48x+11