Vocabulary
Transformations
Domain & Range
Function Notation/Application
Linear Equations
100

A relation that pairs each input to exactly one output.

function

100
The transformation of f(x) = x to g(x) = f(x-4).
What is a horizontal translation 4 units right?
100
The domain and range of the following function: {(-1, 2), (2, 4), (3, 2), (4, -5)}.
What is D: {-1, 2, 3, 4} and R: {-5, 2, 4}?
100

Find f(2) for f(x) = 2x -4.

0

100
The linear equation for slope-intercept form?
What is y = mx + b?
200

The test used to determine if a graph represents a function.

Vertical Line Test

200
The type of transformation from f(x) = x to g(x) = f(x) + 5
What is a vertical translation UP 5 units?
200
The domain and range of the following function: f(x) = |x|.
What is D: All real numbers; R: all y-values greater than or equal to 0?
200
Find the value of x so that the function has the given value: f(x) = 3x -5 for f(x) = 10.
What is 5?
200
The type of linear equation form of the following: 3x + 2y = 5.
What is standard form?
300

You must get BOTH correct: 1) The set of all possible INPUT values of a function. 2) The set of all possible OUTPUT values of a function.

1)Domain 2)Range

300
The type of transformation from f(x) = |x| to g(x) = -3|x|.
What is a vertical stretch by a factor of 3 AND a reflection in the x-axis?
300
The range values for the following function with the given domain values: f(x) = 2x + 3. D: {-1, 0, 3}.
What is R: {1, 3, 9}?
300

Find the value of f(x) given f(2) for the function f(x) = -(x+4) -3.

What is -9?

300
The x and y intercepts of the following: 4x - 5y = 40
x-intercept: what is (10,0)? y-intercept: what is (0,-8)?
400

The independent and dependent variables of the function: c = 99.99m + 39.95, represents the cost of your cable bill each month.

What is c, the dependent variable, and m, the independent variable?

400
The type of transformation from f(x) = |x| to g(x) = (1/4) |x+2|
What is vertical shrink by a factor of 1/4 AND a horizontal translation 2 units LEFT?
400
The domain and range for the following function: f(x) = -|x-1|. (try and solve without a calculator for double the points)
What is D: all real numbers; R: all y-values less than or equal to 0?
400
The function for the following scenario: you climb 125 feet per hour after starting at a height of 300 feet where t represents time in hours and h represents height in feet.
What is h(t) = 125t + 300?
400
The slope and y-intercept of the following: 2x + 6y = 42
Slope: what is -1/3? Y-intercept: what is (0,7)?
500
Must get BOTH correct: Discrete or Continuous 1) A set of values that consists of only certain numbers in an interval. 2) A set of values that consists of ALL numbers in an interval.
1) What is discrete? 2) What is continuous?
500
The type of transformation from f(x) = |x| to g(x) = -7|x+1|-4.
What is a reflection in the x-axis, vertical stretch by factor of 7, horizontal translation 1 unit left, and a vertical translation 4 units down?
500
The domain and range of the following function: {(-2, 1), (3, 0), (0, 3), (3, 2), (5, -4)}
What is NOT A FUNCTION!!! tricky ; )
500
A draining bathtub where t equals time in minutes and h equals water height in inches is represented by the following function: h(t) = 1.25t + 28. Interpret the slope and y-intercept as they relate to the problem.
Slope: What is 1.25 inches per minute, the water draining in the bathtub? Y-intercept: What is 28 inches, the starting height of the water prior to draining the bathtub?
500
First, identify if the following represents and linear function. If it is linear, write the equation to represent the information. x = -10, 2, 8, 14 y = -6, 0, 3, 6
What is YES it is a linear function AND y = (1/2)x - 1?
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