3.1 Functions
3.2 Linear Functions
3.3 Function Notation
3.4 Slope Intercept Form
Vocabulary
100
The point (2, -3) would be in which quadrant on a graph?
Quadrant 4
100
Describe the graph of a linear function.
A linear function is a function whose graph is a nonvertical line.
100
Fill in the blank.
"Function notation does not imply _____. "
a. Addition
b. Subtraction
c. Multiplication
d. Division
c.
Function notation does not imply multiplication.
100
Find the slope and y intercept of the equation
y = 5x - 6
Slope: 5
Y intercept: -6
100
Fill in the blank
A relation that pairs each input with exactly one output is a __________.
A relation that pairs each input with exactly one output is a function.
200
On a graph, which direction does the x axis go?
On a graph, which direction does the y axis go?
X axis goes left and right
Y axis goes up and down.
200
Does the equation represent a linear or non linear function? Explain
y = x + 9
The equation represents a linear function. There is a constant rate of change. +9
200
Evaluate f(x) = -4x + 7 when x = 2 and when x = -2
f(2) = -1
f(-2) = 15
200
Find the slope and y intercept of the equation
-2x + y = 4
Slope : 2
Y intercept : 4
200
Fill in the blank:
A non-linear function does not have a constant rate of __________ so, its graph is not a line.
A non-linear function does not have a constant rate of change so, its graph is not a line.
300
Determine whether the relation is a function or not. Explain.
Not a function. The input "3" has multiple outputs.
300
Does the graph represent a linear or non-linear function?
Non linear. The graph is not a straight line.
300
Find the value of x so that the function has the given value.
f(x) = 6x + 9 ; f(x) = 21
x = 2
300
Correct the error made below
Slope should be -6 not 6.
300
The variable that represents the input values of a function is the __________ __________ because it can be any value in the domain.
*Hint* : 2 words
The variable that represents the input values of a function is the independent variable because it can be any value in the domain.
400
Using the vertical line test, determine if the graph show represents a function or not. Explain.
The line touches the graph twice so it is not a function.
400
Does the table represent a linear or non-linear function?
Non linear. There is not a constant rate of change.
400
Using the inputs 0, 1, 2, 3 make an input-output using the function f(x) = 2x + 5
400
Which equation does not belong?
y = -5x - 1
2x - y = 8
y = x + 4
y = -3x + 13
2x - y = 8. This is not in slope intercept form.
400
Fill in the blanks.
The __________ of a function is the set of all possible input values.
The range of a function is the set of all possible __________ values.
The domain of a function is the set of all possible input values.
The range of a function is the set of all possible output values.
500
Fill in the blank
The variable that represents the output values of a function is the __________ variable because it depends on the value of the independent variable.
The variable that represents the output values of a function is the dependent variable because it depends on the value of the independent variable.
500
Correct the mistake made
The graph is a vertical line so it is not a function. A linear function has a graph that is a nonvertical line.
500
Graph the linear function f(x) = 3x - 2
500
Find the slope of the line
x = 0.5 or 1/2
500
Fill in the blank
The notation f(x), called function notation, is another name for _____.
The notation f(x), called function notation, is another name for y.