Evaluating Functions
Domain & Range
Is it a Function?
Evaluating Functions
Intercepts
100
What is the definition of domain?
A set of input values (all values of x).
100
What is the test to tell if a graph is a function?
Vertical Line Test
100
If you are given an OUTPUT of 3, where would you plug it in to the function f(x)=4x - 5?
3= 4x-5
100
The y-intercept crosses the _ ____ and the x intercept crosses the _ ____
y axis, x axis
200
Evaluate f(2) if f(x)=-3x
f(2) = -6
200
What is the definition of range?
The set of output values (all values of y).
200
Is it a function? Justify your answer.
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
No, the input of 2 has two different outputs.
200
If f(x) = 9, use the equation f(x)= 3x and solve for x
3
200
What is the y-intercept of this line?
3.5
300
Evaluate f(7) if f(x)= 4x+2
f(7) = 30
300
State the domain and range:
| x | y |
| 3 | 7 |
| 5 | 9 |
| 3 | 8 |
D: {3, 5}
R: {7, 8, 9}
300
Is it a function? Justify your answer.
{(2, 3), (4, 5), ( -2, 6)}
Yes, each input has exactly one output.
300
If f(x)= x + 6, what is x when f(x)= 18
x = 12
300
What is the x-intercept of this line?
7
400
Evaluate f(x)=9 if f(x)=25 - 4x
x = 4
400
State the domain and range: 
D: {1, 2, 3, 4, 5, 6} R: {-1, 0, 1, 2, 3, 6}
400
Is it a function? Justify your answer.
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Yes, it passes the Vertical Line Test.
400
If f(X)= 2x + 7, what is x when f(x)= 15
x = 4
400
What is the y intercept of this line?
-2
500
A function multiplies an input by 2, then adds 3 to the product. How would you write the function?
F(X)= ?
f(x)= 2x +3
500
What is wrong about how I set up the equation
f(x)= 2x + 5
to find f(4)? (Fix my mistake below and rewrite the function the correct way!)
4=2x + 5
f(4) = 2(4) + 5