Am I a function?
Am I a function? Graph
What's my function?
function equation
X maps to ___
100
In a function, how many outputs can one input have?
Each input has one and only one output.
100
On a graph, how can you tell whether or not the plotted points represent a function.
Perform a vertical line test. Your pencil should not touch more than one point.
100
Evaluate y = -2x when x = -3
y = 6
100
Whats the function if John gets paid $10 per hour(x)
f(x) = ?
f(x) = 10x
100
Based on the graph of function, What is the output when x = 2015
y = 40
200
Does the following table represent a function?
x y
1 2
1 5
1 2
1 9
1 1
No, x = 1 has 5 different outputs.
200
Yes
200
Evaluate y= x2 + 1 when x = -5
y = 26
200
Sally wants to go to an amusement park. The amusement park cost $120 per day(x) and an additional fee of $50.
y = ?
y = 120x + 50
200
Based on the graph of function, what is y when x =3?
y = 4
300
Does the following table represent a function?
x y
1 2
2 2
3 2
4 2
5 2
Yes
300
Is this a function and why?
No because x=8 has two outputs (3 and -3)
300
Evaluate y = x2 - 2 when x = 2
y = 2
300
You go to Florida and want to go jet skiing. It cost $100 per person(x) and $75 for the tour guide. What function represents this equation.
y = ?
y = 100x + 75
300
Based on the function, what is y when x = -3?
y = -3
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) of 2 has two different outputs (y)
400
No, vertical lines are not functions.
400
Evaluate
y = x/4
when x= -2
y = -1/2
400
At the local cafe, a salad cost $5.75. Additional toppings cost $0.50 each. What is the function that represents the situation.
y = ?
y = 0.50x + 5.75
400
Based on the function, what is the output of x = 4
Trick Question. There is not one.
4 does not have a line connecting to an output.
500
Does the following table represent a function?
x y
1 2
0 5
1 2
5 9
5 9
Yes because though there are multiple inputs they share exactly one output. Example:
x = 1 always maps to y = 2
x = 5 always maps to y = 9
500
Yes it is a function, because though it appears that one input maps to two outputs. The holes show that there is NOT a second output.
Example x = -2 maps to y= 4. HOWEVER x = -2 does not map to y = 5 due to the hole.
500
If y = 8 what is x if y = 2x + 4
x = 2
500
You take a class trip to the ice cream shop. They charge $5.00 for a cup of ice cream. What is the function that represents this problem?
y = ?
y = 5x
500
Based on the graph of the function, what is y when x = 2?
y = 2