Is It A Function?
Evaluating
Linear / Nonlinear
Domain/Range
200
Is this a function? Why or why not?
(0, 0), (2, 9), (4, 10), (6, 9), (8, 0)
Yes- no repeated inputs.
200
Find f(1) for
f(x) = 3x - 7
f(1) = -4
200
How can you tell if a table is linear?
If both the x- and y-values increase or decrease at a constant rate of change.
200
Does range represent the x values or y values of a function?
y values
400
Describe the Vertical Line Test.
Placing a bunch of vertical lines on a graph, and if any of them pass more than one point, it is not a function.
400
If h(x) = 2x2 - 3x, what is h(3) ?
h(3) = 9
400
For an equation where x is part of a fraction, when is it linear, and when is it nonlinear?
Linear: When x is in the numerator (top)
Nonlinear: When x is in the denominator (bottom)
400
What are the domain and range of this function?
(-1, 0), (2, 9), (4, 10), (6, 9), (7, 0)
Domain: {-1, 2, 4, 6, 7}
Range: {0, 9, 10}
600
Does this graph represent a function? Why or why not?
Yes- passes the Vertical Line Test
600
For g(x) = -0.25x + 5, find g(4).
g(4) = 4
600
Is this linear or nonlinear? Why?
(0, 0), (2, 9), (4, 10), (6, 9), (8, 0)
Nonlinear- does not add or subtract at a constant rate for the y values.
600
What is the range of this function?
Range: {1, 2, 3}
800
Is the equation y = 4x2 - 1 a function? Why or why not?
Yes- there are not inputs that would give you more than one output.
800
If f(x) = 2x - 5 and f(x) = 11, solve for x.
x = 8
800
Is this graph linear or nonlinear? Why?
Nonlinear- not a straight line
800
If the domain of f(x) = 2x + 1 is [-4, 6], then what is the range?
Range: [-7, 13]
1000
Is the equation x = 6 a function? Why or why not?
No- does not pass the Vertical Line Test
1000
Evaluate the function for when m(x) = -3x + 11, and m(x) = 2
x = 3
1000
Is the equation x = 4 linear or nonlinear? Why?
Nonlinear- it's the equation of a vertical line.
1000
What is the range of this function?
Range: [-10, 16]