Home on the Domain and Range
Notation Nation
Function Notation Frustration
Translation Station
Function Junction
100
Domain corresponds to which axis?
What is the X-axis.
100
When using interval notation, what is the difference between using a bracket and using a parenthesis?
A bracket means it can equal and a parenthesis means it cannot.
100
Rewrite y=2x-1 in function notation.
What is f(x)=2x-1.
100
If the function y=f(x) moves 3 units upward, write the new function.
What is y=f(x)+3.
100
If a line has a y-value for every x-value in the domain and NO x-value has multiple y-values, it is a what?
What is a function!
200
When finding the range of a function, you are looking for all possible _____-values?
What are the Y-values!
200
Set builder notation sometimes requires us to find this "equally" important information first.
What is the inequality.
200
If f(x)=2x-3, what is f(4)?
What is f(4)=5.
200
Describe what happens to the y=f(x) when it becomes y=f(x-4).
It shifts to the right 4 units.
200
If the following points are elements of a line, why is it not a function? (-2,3), (0,4), (-4,6), (0,2)
Because the 0 repeats as an x-value!
300
In interval notation, represent the domain of the inequality -6<x<2.
What is (-6,2).
300
In roster notation, write out the domain and range for the following set of points. (-4,6), (1,4), (3,7), (-2,3)
What is D:{-4,-2,1,3} and R:{3,4,6,7}.
300
If f(x)=3, what is f(-2)?
What is f(-2)=3.
300
Translate the point (1,1) to the left 3 and down 3. What is the new point?
What is (-2,-2).
300
What visual test can we use to determine whether or not a line is a function?
What is the Vertical Line Test.
400
When saying a domain or range goes from negative infinity to positive infinity, we can "really" shorten that by saying it includes what?
What is All Real Numbers.
400
In set builder notation, rewrite the inequality: -4 x 3.
What is {x|-4<x<3}.
400
If f(x)=-(3x)+1, what is f(-2)?
What is f(-2)=7.
400
Translate the following points to the right 2 and down 2. (-2,3), (0,5), (2,7), (4,6)
What is (0,1), (2,3), (4,5), (6,4).
400
Plot the points (-4,2), (-1,4), (2,6), (5,8) and connect them with a line. Do they form a function?
What is yes, absolutely!
500
In interval notation, what is the domain of a function that extends to negative infinity and positive infinity, but does not equal 0?
What is (-infinity,0)(0, infinity).
500
In roster notation, rewrite the first names of your team members. Hint: Make sure it is A before B, and S before T.
What is ANSWERS WILL VARY.
500
Solve f(x)=2x-4 for f(x+2).
What is f(x+2)=2x. Because f(x+2)=2(x+2)-4=2x+4-4=2x.
500
If a function reads -f(x), it is safe to say what is happening to it?
It is being reflected across the x-axis.
500
In words, describe whether or not the class results on the test can or cannot be a function.
What is yes, each student will have only one grade on the test.
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