Function Terms
Are You Having Fun(ction)?
What's my function?
Domain and Range
All Things Functions
Composite Functions
100
This word is used to describe the set of all inputs for a function.
What is the domain?
100
Is the following relation a function?
(1, 0), (2, 2), (3, 4)?
Yes
100
f(-3) if f(x) = 2x +1
What it -5 ?
100
Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is {-2, 3, 2)?
100
f(12) if f(x) = 3x -5
31
100
Let f(x)=2x - 1, g(x) = 3x, and h(x)=x2 + 1. Compute the following:
fg(-3)
-19
200
This word is used to describe the set of all outputs of a function.
What is the range?
200
Is the following relation a function?
(1, 1), (4, 1), (5, 2), (1, 2), (2, 5)?
No
200
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
200
Find the RANGE:
{(-2, 4), (3, 2), (2, 10)}
What is {4, 2, 10}?
200
f(5) if f(x) = 2x+8
18
200
Let f(x)=2x - 1, g(x) = 3x, and h(x)=x2 + 1. Compute the following:
fh(7)
99
300
This word describes a relation that pairs each x value with only one y value.
What is a function?
300
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No
300
Let f(x)=3x+2; find f(-6)
what is -16?
300
Find the DOMAIN:
x y
-1 -4
0 1
2 5
4 6
What is {-1, 0, 2, 4}?
300
Find the inverse of f(x) = 2x + 8
f-1(x) =
1/2x-4
300
Let f(x)=2x - 1, g(x) = 3x, and h(x)=x2 + 1. Compute the following:
f(x+1)
2x+1
400
This word describes a relationship between two sets of numbers.
What is a relation?
400
Is this a function and why?
What is no, because x's repeat at 8
400
If f(x)=3x+2;g(x)=5x-4
find f(-2)/g(2)
What is -2/3 ?
400
Find the RANGE:
What is {-2, 2, 3, 1}
400
Find the inverse of the function.
400
Let f(x) = -3x+7 and g(x)=2x2 - 8. Compute the following:
fg(x)
-6x2 + 31
500
This term identifies the variable that changes based upon the other variable in a function.
What is the dependent variable?
500
Is this a function and why?
What is yes, because the x's are all different
500
Let f(x) = 3x - 5 and g(x) = 5x - 9. Find g(f(3)).
What is 11 ?
500
Find the DOMAIN:
What is {-2, 2, 3}?
500
function or not?
Yes
500
Let f(x) = -3x+7 and g(x)=2x2 - 8. Compute the following:
fg(3)
22