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 Graph 1 a function? Explain your answer
No, it would fail the vertical line test because a vertical lined drawn on the graph would hit the relation more than once.
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
Using interval notation, determine the domain of Graph number 2
-6 < x < 2 or (6, 2)
400
Find the average rate of change from x=0 to x=2
of table 1
Express your answer as a decimal.
2.5
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
When is graph 3 always decreasing?
1) 0 < t < 190
2) t > 5
3) 0 < t < 12
4) 6 < t < 12
Explain...
Choice 4 because the object represented in the graphs output values are decreasing between 6 and 12 seconds
500
Answer Question 2
$12.50
500
See Question 1
Choice 2)
2 and 4
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