Relations and Functions
Linear Equations
Scatter Plots
Special Functions
Graphing Inequalities
100
A set of ordered pairs is known as a ______
What is a relation
100
In order to be a linear equation, 2 main criteria must be met. Name the criteria.
What is variables cannot be in the denominator and variables cannot have an exponent on them other than 1.
100
Points that do not seem to fit the trend of the rest of the data are called _____________.
What is outliers.
100
There is a special function called the Identity Function. Name the equation for this function.
What is y = x.
100
True or False. A bivariate inequality has a limited number of values.
What is False.
200
You must put your answer in proper order. The set of all x values is known as the _______ and the set of all y values is known as the _______.
What is the domain and range
200
Find the slope that passes through the points (-4,1) and (2,-3).
What is m = -2/3.
200
A linear regression line is also known as two other terms. Name one.
What is the line of best fit or prediction equation.
200
Graph the equation of the function f(x) = -2.
What is a horizontal line through y values = -2.
200
WILD CARD QUESTION! Determine whether the equation is linear. Justify your answer. (1/4)y = 2x + 3.
What is Yes. The variables only have an exponent of 1, are not multiplied together, and are not in the denominator.
300
In order to be a function, a relation must meet certain criteria. Name the criteria.
What is each element of the domain can only be paired with one element of the range or pass the vertical line test.
300
Find the equation of a line that has a slope of 1/3 and passes through the point (4,2).
What is y = 1/3x + 2/3
300
After plotting some given data, you determine that the two points that best fit the data are (9,273) and (13,301). Find the prediction equation for this data.
What is y = 7x + 210
300
Graph the function |3x| + 2.
What is a V starting at (0,2) with a slope of 3 on the right and -3 on the left.
300
Graph the inequality y < -1.
What is a dashed line at y = -1 and shaded below.
400
Given the relation, y = 0.5x, determine the domain, range, and state whether it is a function.
What is D = All real #'s, R = All real #'s, and YES
400
Write the given equation in Standard Form, and name A,B, and C. 1/4y = 3x + 1/6
What is 3y - 36x = 2 or 36x - 3y = -2 A = -36 or 36 B = 3 or -3 C = 2 or -2
400
The previous question gave data for the year (9 = 2009, 13 = 2013) and the average number of miles between fill-ups for a car. Using your prediction equation, how many miles would you expect to travel between fill-ups in 2017?
What is 329 miles.
400
Graph the function f(x) = [[x + 3]], then name its domain and range.
What is a step function shifted 3 units to the left. D = All Real Numbers R = All integers
400
Graph the inequality for 2x + 3y > 3.
What is a dashed line with a y-intercept at 3 and a slope of -2, with shading above.
500
Given the relation, {(-5,2),(2,4),(1,1),(-5,-2)}, determine the domain, range, and state whether it is a function.
What is D = {-5,1,2} R = {-2,1,2,4} and NO
500
Write the slope intercept form of a line that passes through the point (-6,-2) and is perpendicular to the line y = -1/2x +3.
What is y = 2x + 10
500
WILD CARD QUESTION! Find the slope intercept form of a line that passes through the point (-2,0) and is parallel to the line that passes through the points (1,2) and (2,-3).
What is y = -5x - 10.
500
Graph the function f(x) = {1/2x + 2 if x > 0 -4 if x < -2 Then name the domain and range.
What is a piecewise function with a line starting with a y-intercept of 2 and a slope of 1/2 when x is positive or a horizontal line through y = -4 when x < -2. D = {x|x < -2 or x > 0} R = {y|y > 2 or y = 4}
500
Graph the inequality y < |x + 5|.
What is a dashed V starting at (-5,0) with the right side having a slope of 1, the left a slope of -1 and shading everywhere below the V.
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