Changes to Linear Functions
Identifying Linear Functions
Domain and Range
Chapter 2 Review
Chapter 2 Review Continued
100
A line with a slope of 3 is multiplied by a (-1/3), what is the new slope?
What is -1.
100
When looking at the graph of a line, this visual test to tell whether or not it is a function is called the what?
What is Vertical Line Test.
100
The domain is represented by the variable __ and the range is represented by __.
What is (x) domain and (y) range.
100
What is the 7th term in the following sequence; -1, 2, 5, 8...
What is 17.
100
The function y=2/3x + 4 passes through the point (0,_)?
What is 4.
200
When the y-intercept is increased, the graph is _____ _____.
What is shifted upward.
200
When looking at a table of points, you notice that when x=3 the y-values are -2, and +2. Is this a function, why or why not?
What is NO! Each X-value can only correspond to one Y-value.
200
State the function y=(x^2) + 4 in function notation.
What is f(x)=(x^2) + 4.
200
Rewrite the equation y=2x+4 in standard form.
What is 2x - y = -4.
200
What is the coordinate of the y-intercept of y=2x+6.
What is (0,6).
300
What is the new equation of the line y=4x+7 if the slope is cut in half and the line shifted down 12.
What is y=2x-5.
300
If a constant line contains the points (0,0), (2,4), (4, 8), and (6,12), what kind of function is it?
What is linear.
300
If my total cost depends on the hours worked, which one represents my independent variable?
What is hours worked.
300
What is the solution of the equation 12=1/3x+6.
What is x=18.
300
What is the solution to the equation 4(x-3)=24 -2x.
What is x=6.
400
The equation for one function is y=3x+4 and the other is y=3x-2. What is the solution of these two lines?
What is No Solution! The slope is the same, therefore they are parallel.
400
Which set of points represents a linear function? A) (0,3), (1,5), (2,7), (3,10) B) (-2,0), (-1,1), (0,2), (1,3) C) (-6, -6), (-2, 2), (2, 2), (6,-6)
What is B.
400
Graph the function y= 2x - .75 and state the domain and range.
What is D: All Real Numbers, R: All Real Numbers.
400
What are the first four terms of the sequence 2^n if n>0.
What are 2, 4, 8, 16.
400
Bonnie is a seamstress that charges $12/hour for the first two hours of work and $10/hour for every hour after. Usually Bonnie can sew two pairs of pants in an hour. If Kati took Bonnie 7 pairs of pants to sew, what would her final cost be?
What is $39.
500
Charlie decides to deposit $20/week into a bank account so he comes up with a linear equation to represent his account balance. When he tells his grandmother, she tells him she wants to put $100 in there for him to start with. What is the new equation that represents his total account balance?
What is y=20x + 100. (Or b= 20w + 100, etc.)
500
Fill in the blanks to make the set of points a linear function. (-4,__), (-2,-6), (1,3), (2,__), (__,15)
What is -12, 6, 5. The linear function would be y=3x.
500
Billy the mechanic, charges $25/hour for labor, what is the domain of his costs for any particular job?
What is X>0, or 0<x<infinity.
500
What is the solution of the equation, 2(m-4)+4m=(1/3)(3m-9)+2m.
What is m=5/3.
500
What happens to the slope of a line if it is multiplied by a number between 0 and 1?
What is becomes less steep.
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