Domain and Range
Identifying Functions
Graphs of Functions
Add and Subtract Functions
Mixed Review
100
f(x) = 3x + 2
What is f(5)?
17
100
What would be a good name for the function that takes the pages in a reading assignment and returns the time needed to complete it?
Time(pages)
100
Over what interval is the function in this graph increasing?
–4 ≤ x ≤ 1
100
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f + g)(x).
(f + g)(x) = 5x + 3
100
Does this graph show a function? Explain how you know.
No; the graph fails the vertical line test.
200
True or false: f(x) is a function.
False
200
The table shows the number of weeks of vacation employees receive each year, based on the number of years they have been employed. What does v(15) = 5mean in terms of the problem?
A worker with 15 years of service gets 5 weeks of vacation each year.
200
Which statement describes the graph?
A.The graph crosses the y-axis at (0, 7),increasing from x = –10 to x = 0 and decreasing from x = 0 to x = 10.
B.The graph crosses the y-axis at (0, 7),increasing from x = –10 to x = –2 and remaining constant from x = –2 to x = 10.
C.The graph crosses the y-axis at (–8, 0), increasing from x = –10 to x = –2 and decreasing from x = –2 to x = 10.
D.The graph crosses the y-axis at (0, 7),increasing from x = –10 to x = –2 and decreasing from x = –2 to x = 10.
D.The graph crosses the y-axis at (0, 7),increasing from x = –10 to x = –2 and decreasing from x = –2 to x = 10.
200
If f(x) = 2x – 1 and g(x) = x2 – 3x – 2, find (f + g)(x).
(f + g)(x) = x2 – x – 3
200
Find the range of the graphed function.
–4 ≤ y ≤ 8
300
What is the range of this function?
{–8, –3, 5, 7}
300
Does this table represent a function? Why or why not?
No, because one x-value corresponds to two different y-values.
300
Use the graph to find the cost of 8 shirts.
The cost of 8 shirts is $120.
300
If f(x) = –x2 + 6x – 1 and g(x) = 3x2 – 4x – 1, find (f + g)(x).
(f + g)(x) = 2x2 + 2x – 2
300
Students can buy up to 10 books at a book fair. The cost of the books is shown in the graph. What is the domain of this graph?
All whole numbers from 0 to 10
400
What is the domain of the function shown in the table?
{2, 4, 6, 8}
400
Does this set of ordered pairs represent a function? Why or why not?
{(–1, 5), (0, –3), (2, 7), (4, 0), (7, 5)}
Yes, because every x-value corresponds to exactly one y-value.
400
Over what interval is the function in this graph decreasing?
–4 ≤ x ≤ 2
400
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f – g)(x).
(f – g)(x) = –x – 15
400
If f(x) = –x2 + 6x – 1 and g(x) = 3x2 – 4x – 1, find (f – g)(x).
(f – g)(x) = –4x2 + 10x
500
Find the domain of the graphed function.
–4 ≤ x ≤ 9
500
Does this graph show a function? Explain how you know.
Yes; the graph passes the vertical line test.
500
Over what interval is the function in this graph constant?
1 ≤ x ≤ 6
500
Luisa earns money mowing her neighbors' lawns.
The revenue for mowing x lawns is r(x) = 20x.
Luisa's cost for gas and the mower rental is c(x) = 4x + 25.
Her profit from mowing x lawns is p(x) = (r – c)(x). What is p(x)?
p(x) = 16x – 25
500
If f(x) = 3x + 10 and g(x) = 2x – 4, find (f + g)(x).
(f + g)(x) = 3x + 2x + 6