Relations and Functions
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.
What kind of data do scatterplots show?
Bivariate!
There is a special function called the Identity Function. Name the equation for this function.
What is y = x.
What is different about graphing and inequality versus a normal equation?
Line must be dashed or solid depending on the sign, AND you must shade one side of the line or the other!
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
Find the slope that passes through the points (-4,1) and (2,-3).
What is m = -2/3.
A linear regression line is also known as two other terms. Name one.
What is the line of best fit or prediction equation.
Graph the equation of the function f(x) = -2.
What is a horizontal line through y values = -2.
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.
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.
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
Graph the function |x-5| + 2.
What is a V starting at (5,2)
Graph the inequality y < -1.
What is a dashed line at y = -1 and shaded below.
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
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
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.
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
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.
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
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
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.
Graph the function f(x) = {1/2x + 2 if x < 0
{-4 if x > 0
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 negative or a horizontal line through y = -4 when x >0. D = {x|x < -2 or x > 0} R = {y|y > 2 or y = 4}
Graph the inequality 2x+3y<6.
shaded and dashed