Relations and Functions
Linear Relations and Functions
Rate of Change and Slope
Writing Linear Equations
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100
What are the domain and range?
What is domain= x-values range = y-values
100
Is the following function a linear function? Explain why or why not. g(x)= 2x - 5
What is yes. m=2, b= -5
100
How do you find the rate of change?
What is change in y over change in x
100
What is slope intercept form?
What is y=mx+b
100
What is the range of the following relation? Is this a function? {(-3, 2), (4, 1), (0,3), (5, -2), (2, 7)}
What is range= {-2, 1, 2, 3, 7}, yes it is a function.
200
State the domain of the domain and range of the following relation. {(-3, -4), (-1, 0), (3, 0), (5, 3)}
What is domain= {-3, -1, 3, 5} range= {-4, 0, 3}
200
What is standard form?
What is Ax + By = C
200
What is the formula for slope?
What is y2 - y1 over x2 - x1
200
Write an equation in slope intercept form for the line described. slope= 4/3 passes through (0, 4)
What is y=(4/3)x + 4
200
Is 2x^2 -9 a linear function? Why or why not?
What is No. There is an exponent greater than 1.
300
Is the following relation a function. Explain your answer. {(2, 21), (2, 25), (8, 30)}
What is No. The x-value 2 repeats.
300
Put the following equation into standard form. Identify A, B, and C. y=3x - 9
What is 3x - y = 9 A=3, B= -1, C=9
300
Find the slope of the following points. (-1, 4) and (1, -2)
What is -3
300
Using point-slope form to write an equation of the line that passes through (-2, -1) with a slope of -3.
What is y= -3x - 7
300
What is point slope form?
What is y - y1 = m(x - x1)
400
What is the vertical line test? How do you use it?
What is The vertical line test determines if a graph is a function or not. You put your pencil on the graph and move it from left to right. If it touches the graph in more than one spot at a time, then the graph is not a function.
400
Find the x-intercept and y-intercept of the graph 2x+5y=10. Then graph the equation.
What is x=5, y=2. check graph
400
Find the slope of of the line that passes through the following points. (-8, 11) and (24, -9)
What is -5/8
400
Write an equation of the the line that passes through the points (2, -3) and (-3, 7).
What is y= -2x + 1
400
Write an equation in slope-intercept form for a line that passes through (12, 0) and is parallel to y=(-1/2)x - 3.
What is y= (-1/2)x + 6
500
Evaluate the following function for f(3). f(x)= -4x^2 -2x +5
What is -37
500
Find the x-intercept and the y-intercept of the graph of -2x+y-4=0. The graph the equation.
What is x= -2, y=4. check graph.
500
If a graph passes through the points (-2, 0) and (0, -3), what is the slope of that line?
What is -3/2
500
Write an equation in slope-intercept form for the line that passes through (3, -2) and is perpendicular to the line with equation y= -5x +1.
What is y = (1/5)x - (13/5)
500
In 2002, 23,142 students applied to State College, and 34,689 students applied to Central University. In 2010, 29,563 students applied to State College, and 36,107 applied to Central University. Determine the average rate of change in applicants for both schools from 2002 to 2010.
What is State College:average increase about 803 applicants per year; Central University: average increase about 177 applicants per year.