Graphs
???Mystery???
Is It a Function?
Relations/Domain and Range
Vocabulary
100
Using your calculator determine the minimum of f(x) = x^2
minimum is 0
100
Evaluate f(5) for the function below f(x) = 3x - 2
f(5) = 13
100
The name of the test used to determine whether a graph is a function or not is called the ____________ _______ test.
What is the vertical line?
100
The domain of the relation {(1,0), (-2, 3), (3, 4)} would be:
What is {1, -2, 3}?
100
The name of the horizontal axis is called ______________.
What is the x-axis?
200
Determine the minimum value of f(x) = x^2 - 4
minimum is -4
200
Evaluate f(x) = x^2 - 3x + 6, when x = -3
f(-3) = 24
200
A function is a special type of relation where every _____________ value has exactly one ________________ value. Fill in the blank
input output
200
Write the range of this relation: {(8,7), (-6, 3), (2, 0)}
What is {7, 3, 0}?
200
Another name for the coordinates (0,0) would be the _______________.
What is the origin?
300

Is x^3 - 5 a function?

Graph it in Desmos to find out.

Yes

300
If f(x)= x^2 - 3x + 5, find the value of f(3)
f(3) = 5
300
Determine if the following relation is a function. Show your work using a table to list the order pairs. {(9, 0), (3, 0), (2, 2), (-3, -4)} Explain your reasoning
Yes, the x-values do not repeat.
300
What is the range of function f(x) = 2x - 8 when x = 2, 6, and 10?
Range= {-4, 4, 16}
300
A set of ordered pairs is called a _______________.
What is a relation?
400

If a graph went from an x-value of -4 and went to an x-value of 10, what would the domain be in interval notation?

{-4<x<10}

400

If f(x)=4x-5

What is the domain value when the range value is 3?

2

400
Removing which ordered would make this relation a function {(-9,2), (4,5), (3,5), (7, 2), (-9,5)} 1) (4,5) 2) (7, 2) 3) (3,5) 4) (-9,2) Explain
(-9,2) because the the input -9 will no longer have two outputs
400
Create a mapping chart for the ordered pairs {(0, 4), (-7, 5), (8, 3), (-7, 2)} Then, determine the domain and range of this relation.
Domain- {-7,0,8} Range- {2,3,4,5}
400
What is the name of a function that has at least two rules?
Piecewise functions
500

If a graph went from a y-value of 3 to a y-value of 17, what would the range be in interval notation?

{3<y<17}

500

If f(x)=3x+2


Find f(7)

f(7)=23

500

Does this relation represent a function?

(3,2) (4,8) (5,7) (3,4)

NO!

500
The function h(t) = −16t^2 + 144 represents the height, h(t), in feet, of an object from the ground at t seconds after it is dropped. A realistic domain for this function is... 1 −3 ≤ t ≤ 3 2 0 ≤ t ≤ 3 3 0 ≤ h(t) ≤ 144 4 all real numbers
Choice 2
500
List 2 different names for a function x-values List 2 different names for a functions y-values
x-values inputs domain y-values: outputs range
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