Identify Fxn
Evaluate Fxn
Miscellaneous
Fxn Concepts
100
No, not a function. It does not pass the vertical line test.
100
Find f(-3) if f(x) = 2x +1
f(-3) = -5
100
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
5n+1
100
What is a Function?
A function describes any set of ordered pairs where each x-value is paired with one y-value.
200
Yes, this passes the Vertical Line Test.
200
Let f(x) = x2 + x + 1; find f(-5).
f(-5) = 21
200
What is the input and output in the following function?
f(6) = -2
input: 6
output: -2
200
How do you know when a relation FAILS the Vertical Line Test?
We know a relation fails the VLT when we draw a straight vertical line on a graph and the relation intersects (touches) the vertical line more than once.
300
The mapping diagram shows a function or not.
No, not a function. Input 2 has more than one output (20 and 40).
300
Based on the graph of the function, what is f(4)?
f(4) = -2
300
f(x)=x^2+1
g(x)=2x-5
Find
f(x)-g(x)
x^2-2x+6
300
True or False
Different inputs are allowed to have the same outputs.
True.
400
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input x=2 has two different outputs of y=5 and y=9
400
Evaluate this function for P(x)=17
F(x)=5x+2
P(3)=17
400
Anna drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h(t) = -5t^2 + 45
Evaluate h(2). Enter your answer as a number.
25
400
In a function, how many outputs can one input have?
1
500
Is this a function and why?
No, because input x=8 has two outputs at y=3 and y = -3
500
Find f(4) =
f(4) = 0
500
f(x) = 4x + 1 and g(x) = 3
Find
f(x) * g(x)
12x + 3
500
In the function, f(a) = a2 - b + x
what variable would we substitute if we were to evaluate at a = 8?
We would substitute all "a" variables.
After substitution our function would look like:
f(8) = 82 - b + x