Sets of Numbers
Domain and Range
Functions
Composition of Functions
Random Jeopardy
100
What makes up the set of real numbers?
rational and irrational numbers
100
Let f(x) be a function.
What values relate to the domain of f(x) and what values relate to the range of f(x)
x-values relate to the domain and y-values relate to the range
100
What tool would I use to check if this is a function?
Vertical line test
100
Consider f(x)= 2x+1 and g(x)=3x-5.
Find (f+g)(0)
(f+g)(0)
=f(0)+g(0)
=1+(-5)
=-4
100
Are all integers rational numbers?
Yes
200
Is -1 a natural number? Why or why not?
No
200
What is the domain and range of this function?
Domain: [-2,2]
Range: [-6,-2]
200
Consider the function g(x). And consider the ordered pairs:
(1,0),(0,1),(3,4), and (5,0).
What are the x-intercept(s) and y-intercept(s)?
x-intercept: (1,0), (5,0)
y-intercept:(0,1)
200
Consider f(x)=x2+3x and g(x)=4x-1
Find (f*g)(2)
(f*g)(2)
=f(2)*g(2)
=10*7
=70
200
Finish the statement:
f is a function if for every point x, there is blank blank output, f(x)
f is a function if for every point x, there is only one output, f(x)
300
From this set of numbers, which are rational?
{2,-5,-1.5,0,sqrt(7) 2/3 , pi, 13/2, sqrt(8/23)}
2, -5, -1.5, 0, 2/3, 13/2
300
What is the domain and range of this function?
Domain: [-1,3)
Range:[0,4.5)
300
Is the h(x) a function? Why or why not?
No, the input 3 has two values. This makes h(x) not a function.
300
Let f(x)= x2-5x+2 and g(x) be the table of values
Find (fog)(-1)
(fog)(-1)
=f(g(-1))
=f(5)
=25-25+2
=2
300
Let f(x)= 2x2-x+4
Find f(2), f(1), and f(-2)
f(2)=10
f(1)=5
f(-2)=14
400
What is the set of integers?
{....-3,-2,-1,0,1,2,3,....}
400
Find the domain and range of the function:
Domain:[-2,3)
Range: (0.5,4.5)
400
For the function g(x)= x2+4x-1, which of these coordinate points are incorrect?
(1,4), (4,31), (2,11), (-2,-3)
(-2,-3)
g(-2) = (-2)2+4(-2) -1
=4 - 8 -1
=-4 -1
=-5
400
Let f(x)=2x2-2x and g(x)=x2-1
Find (gof)(-1)
(gof)(-1)
=g(f(-1))
=g(4)
=15
400
Let g(x)= x2+2x+3 and h(x)= x2-x+2
Find (g/h)(1)
(g/h)(1)
=g(1)/h(1)
=6/2
=3
500
What is the set of natural numbers?
{1,2,3,4,5,...}
500
Draw the graph of a function that has domain (-oo,oo) and range [-1,oo)
Answers will vary.
500
Suppose you baked brownies one evening. You cook the brownies at 350 degrees Fahrenheit, and take them out after 25 minutes. Consider this to be a function.
State an ordered pair of this function.
(25,350)
500
Let f(x)=2x+1 and g(x)=x-1
Find (fog)(1) + (gof)(1)
(fog)(1) + (gof)(1)
=f(g(1)) + g(f(1))
=f(0)+ g(3)
=1+2
=3
500
Draw the graph of a function whose domain is [-1,5) and range is [-2,6)
Answers will vary.