Determine the domain and range. (The points below are (x, y) points
{(-1,1), (0,-2), (3,1), (4,-1)}
Domain Range
0 -2
-1 -1
3 1
4
100
Explain the difference between the y-intercept and x-intercept.
y-intercept: where the graph intersects the y-axis (x-coordinate is 0)
x-intercept: where the graph intersects the x-axis (y-coordinate is 0)
200
[(2^5 - 5) ÷ 9]11
33
200
Use the substitution property to solve the following expression when x = 1/3
x^3
1/27
200
Find the range if the domain is
x:{6,8,10,12,14}
x - 9 = y
-3, -1, 1, 3, 11
200
If f(x) = 2x + 4, what is f(0).
f(0) = 2x + 4
= 2(0) + 4
= 0 + 4
= 4
200
Fill in the blanks.
When a function is viewed from _______ to ________, a function is _____ where the graph goes up and _____ where the graph goes down.
When viewed from left to right, a function is INCREASING where the graph goes up and DECREASING where the graph goes down.
300
Evaluate each expression if a=4 and c=9.
c + 3a
21
300
Why is
6y + 0x = 6y
Because anything times 0 is 0, and 0 added or subtracted to an expression doesn't change that expression.
300
Find the range if the domain/' is
x:{6,8,10,12,14}
-4x = y
-24,-32,-40,-48,-56
300
If f(x) = 2x + 4, what is f(-3).
f(-3) = 2x + 4
= 2(-3) + 4
= -6 + 4
= -2
300
Explain what a y-intercept is and how it will show up in a table, a graph, and an equation of a function.
The y-intercept is the point in the graph of a function where it crosses the y axis. In a table it will be the value for y, when the x is 0. In an equation, it will be the number added or subtracted that is NOT next to the x.
400
Evaluate each expression if a=4, b=3 and c=9.
(a^2 + 2bc) ÷ 7
10
400
Why is
x - 2y = x + (-2y)
Because subtracting a positive number is the same as adding a negative number.
400
Find the range if the domain is
x:{6,8,10,12,14}
y = x/2
y = 3, 4, 5, 6, 7
400
On average, 7 plants grow for every 10 seeds of a certain type planted. Make a table to determine the domain and range to show the relationship between seeds planted and plants growing for 50, 100, 150 and 200 seeds.
Domain Range
50 35
100 70
150 105
200 140
400
True or False. Explain.
Functions have at most one y-intercept.
True, a function can have no more than one y-intercept. If a graph has more than one y-intercept then it is not a graph of a function.
500
One-scoop sundae is $2.75 and two-scoop sundae is $4.25. Find the total cost of a 3 one-scoop sundaes and 2 two-scoop sundaes.
$16.75
500
Why isn't y - 3 the same as 3 - y? Name the property that subtraction does not have.
What two operations DO have that property?
Subtraction is not commutative, but addition and multiplication are.
500
Shandra's age is four more than three times Sherita's age. Write an equation for Shandra's age. Solve if Sherita is 3 years old.
3K + 4 = E
If Sherita is 3, then Shandra is 13
500
If f(x) = 2x + 4, what is f(m + 2).
f(m + 2) = 2(m + 2) + 4
= 2m + 4 + 4
= 2m + 8
500
What is the purpose of the Vertical Line Test and how can it be used? Why does the vertical line test work?
Vertical Line Test - used to see if a graph represents a function
It works because when you draw a vertical line on a graph, and it touches the graph in two places, those two places represent the two outputs that match the one input (which is where that same line crosses the x axis).