Is it a Function?
In a function, every input (x) must have exactly one of these.
Read this symbol aloud: f(x).
"f of x"
What do we call the constant amount added or subtracted in an arithmetic sequence?
The Common Difference
What is the shape of the graph of a linear function?
A straight line
What is the domain of a relation?
The set of all input values (x-values).
Does the relation {(1, 2), (3, 4), (1, 5)} represent a function?
No (The input 1 repeats with a different output).
If f(x) = 2x + 1, what is f(3)?
7 (2(3) + 1 = 7)
Find the next term in the sequence: $4, 7, 10, 13,...
16 (Add 3)
For the function y = x + 5, if the input (x) is 2, what is the output (y)?
7
Convert this sentence into an equation: "A number y is equal to five less than twice a number x."
y = 2x - 5
What is the name of the visual test used to determine if a graph represents a function?
The Vertical Line Test
If g(x) = -x + 5, find g(-2).
7 (-(-2) + 5 = 2 + 5 = 7)
What is the common difference (d) for the sequence: 10, 8, 6, 4,...
-2
Fill in the missing value in the table for the equation y = 3x.
x | 0 | 1 | 3 |
y | 0 | 3 | ? |
-3
What is the domain of a relation?
The set of all output values (y-values).
Is a circle graphed on a coordinate plane a function?
No (It fails the vertical line test).
If h(x) = 10, what is h(50)?
10 (It is a constant function).
Write the explicit formula for the sequence 5, 9, 13, 17,...
t = 4n + 1
Does this table represent a linear function?
x | 1 | 2 | 3|
y | 5 | 7 | 9 |
Yes (The rate of change is constant, adding 2).
Find the 10th term of the sequence 2, 5, 8,...
29. (t = 3n - 1, t = 3(10) - 1)
f a mapping diagram shows arrows from one $x$-value pointing to two different $y$-values, is it a function?
No
If f(x) = 3x - 4 and f(x) = 11, what is the value of x.
x = 5 (Set 3x - 4 = 11, add 4, divide by 3).
Is the sequence 2, 4, 8, 16 an arithmetic sequence? Why or why not?
No, because there is no common difference (you are multiplying by 2, not adding).
Describe the movements from the origin (0,0) to graph the ordered pair (-3, 5).
Move left 3 units and up 5 units.
Which variable is the "Dependent Variable," x or y?
y