Self-Assess
MAS
ADV
MTS
APP
BEG
Name: ___________________
Date:____________________
Per:________
Teacher-Assess
MAS
ADV
MTS
APP
BEG
CCSS.MATH.CONTENT.HSF.IF.A.1: Understand that a
function from one set (called the domain) to another set (called the range) assigns to each
element of the domain exactly one element of the range. If f is a function and x is an element of
its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the
graph of the equation y = f(x)
Use the vertical line test to determine whether the relation is a function
1. Function:
Y
N
3. Function: Y
2.
N
Function: Y
N
4. Function: Y
N
5. Function: Y
7.
Function: Y
N
N
8. Which relation does not represent a function?
6. Function: Y
N
The following are not functions. Circle the part that keeps the graph from being a function.
9.
10.
CCSS.MATH.CONTENT.HSF.IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements
that use function notation in terms of a context.
Solve or evaluate the function to fill in the missing inputs and outputs
11) y  6 x  8
x
12)
y
38
y = x2 + 3
x
5
y
–4
172
13) y = 3x + 4
x
14)
f(x) = 2x2 - 1
x
4
y
38
–1
15)
127
f(x) = √𝑥
x
16
f(x)
16)
y
8
y = -2x + 16
x
6
y
150
CCSS.MATH.CONTENT.HSF.IF.A.3
Recognize that sequences are functions, sometimes defined recursively, whose domain is a
subset of the integers.
Write a pattern rule for the following sequences:
17) Pattern 1: 25, 42, 59, 76, _____, _____.
Rule:
18) Pattern 2: 3, 15, 75, 375, _____, _____.
Rule:
19) Pattern 3: 72, 36, 18, 9, ______,______.
Rule:
Rearrange from standard for to y = mx + b
20.
6y = -24x + 36
21.
-3y + 21x = 33
22.
2y + 18x = 66
CCSS.MATH.CONTENT.HSF.IF.B.6
Calculate and interpret the average rate of change of a function (presented symbolically or as a
table) over a specified interval. Estimate the rate of change from a graph.
Find the equation from the given equation:
23.
Y=
x
-2
-1
0
1
2
y
-3
-1
1
3
5
24.
Y=
Graph the points in the table and connect the points to form a smooth curve.
25)
x
–5
–2
1
4
7
y
6
4
2
0
–2
26)
x
8
0
2
–2
4
–4
6
y
–6
2
3
–1
2
–6
–1
Analyze functions using different representations.
CCSS.MATH.CONTENT.HSF.IF.C.7
Graph functions expressed symbolically and show key features of the graph, by hand in simple
cases and using technology for more complicated cases.*
CCSS.MATH.CONTENT.HSF.IF.C.7.A
Graph linear and quadratic functions and show intercepts, maxima, and minima.
Find three points that are input-output pairs of the function pictured
27)
28)
x
(
,
)
(
,
)
(
,
)
29) Use the function graphed to fill in the
missing inputs and outputs in the table
x
6
y
–7
3
y
Use the graph to answer the questions
30) Tyrone borrows $10,000 from his uncle to buy a car. He pays back the same amount every
month. The graph below shows the amount of money Tyrone still owes as a function of how
many months he has been paying.
a) After how many months does
Tyrone still owe $7,000?
b) About how much does Tyrone
still owe after three years?
c) How long does it take for
Tyrone to pay off his uncle?