xy
−41
−13
0−2
Look at the relation given in the table to the left. What is its domain?
{,,}
What is its range?
{,,}
Is it a function?  

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xy
−12
2−2
32
40
Look at the relation given in the table to the left. What is its domain?
{,,,}
What is its range?
{,,}
Is it a function?  

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5
4
3
2
1
0
−1
−2
−3
−4
−5
x
y
−5
−3
−1
0
1
2
3
4
5
Trace at:
x=
y=2
Look at the relation given in the graph above. What is its domain?
{x:x}
What is its range?
{y:y}
Is it a function?  

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5
4
3
2
1
0
−1
−2
−3
−4
−5
x
y
−5
−3
−1
0
1
2
3
4
5
Trace at:
x=
Look at the relation given in the graph above. What is its domain?
{x:x}
What is its range?
{y:y}
Is it a function?  

More practice

5
4
3
2
1
0
−1
−2
−3
−4
−5
x
f(x)
−5
−3
−1
0
1
2
3
4
5
Trace at:
x=
f(x)=1
xg(x)
−42
−3−3
−2−3
2−1
30
Compute fg(2), where f is defined by the graph above and g is defined by the table above.
fg(2)=

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Compute fg(x), where f is defined by f(x)=3x+2 and g is defined by g(x)=4x1.
fg(x)=

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xf(x)
−12
00
14
20
3−3

Is the function given in the table above one-to-one?  

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xf(x)
−44
−23
−11
0−4
12
3−2

Is the function given in the table above one-to-one?  

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What is the inverse of the function f(x)=3x+4?   f1(y)=
y
+

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What is the inverse of the function f(x)=
11
4
x
+3
?   f1(y)=
y

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Let f(x)=(x+3)2+3. What is an equation for the graph which has the same shape as the graph of y1=f(x), but is shifted up by −2 units?   y=()2+

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Let f(x)=(x+3)2+2. What is an equation for the graph which has the same shape as the graph of y1=f(x), but is shifted right by 2 units and shifted up by −1 units?   y=()2+

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Let f(x)=3x2+2. What is an equation for the graph which is like the graph of y1=f(x), but stretched 2 times as far horizontally?   y=
x2
+

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Let f(x)=x2+1. What is an equation for the graph which is like the graph of y1=f(x), but stretched
7
2
times as far vertically?   y=
x2
+

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Is the function f(x)=2x even, odd, or neither?  

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5
4
3
2
1
0
−1
−2
−3
−4
−5
x
f(x)
−5
−3
−1
0
1
2
3
4
5
Trace at:
x=
f(x)=3
Is the function pictured on the graph above even, odd, or neither?  

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If f(x)={
3x+4if3x<0
2x1if0x3
, what is f(0)?  

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If f(x)={
x+3if5x1
x+4if1<x0
4if0<x5
, what is f(0)?  

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The first few numbers in an arithmetic sequence A(n) are:

7,10,13,16What is the common difference of that sequence?  

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The first few numbers in an arithmetic sequence A(n) are:

0,2,4,6What is a formula for A(n)?   A(n)=n

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The first few numbers in a geometric sequence G(n) are:

8,16,32,64What is the common ratio of that sequence?  

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The first few numbers in a geometric sequence G(n) are:

6,18,54,162What is a formula for G(n)?   G(n)=()n

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Monitored by the teacher in class: