2.2 Practice Domain and Range (Graphs) Name: Answer Key
2.2 Practice ? Domain and Range (Graphs)
Name: _A_n_s_w__e_r _K_e_y________________
Pre-Calculus
For 1-12, name the basic function shown and write the equation. Try not to look back at your notes if possible.
Greatest Integer
Exponential Function
Square Root Function
Absolute Value
Function
y
y
Function
y
x
x
x
y
x
||
Cosine Function
Logistic Function
Logarithm Function
Linear Function
y
x
y
x
y
x
y
x
Sine Function
y
x
Cubic Function
y
x
Quadratic Function
y
x
Rational Function
y
x
For 13-16, identify the domain intervals where each function is increasing, decreasing, and constant. Use interval
notation.
13)
y
Inc:
Dec:
14)
y
, 2 2, 1
Inc:
Dec:
1,4
3,1
1,4 4,
x
Constant: None
x Constant: , 3 4,
15)
y
Inc:
Dec:
16)
y
2,1
, 2
1,5
x Constant: 5,
Inc:
Dec:
3, 1 , 3
2,3 1,0
x
Constant: 0,2 3,
For 17-26, identify the domain and range of each function. Use both interval notation and inequality notation.
17)
y
Domain:
18)
y
Interval: ,
Domain:
Interval: 1,1
x
Inequality: all real numbers
Inequality: 1
1
Range:
Interval: , 0
Range:
x Interval: 1,5
Inequality: 0
Inequality: 1
5
19) y
Domain:
Interval: 3,
20) y
Domain:
Interval: 0,5
x Inequality:
3
Range:
Interval: 1,
Inequality:
1
21)
y
Domain:
Interval: 5,2 2,4
Inequality: 5
2
x
and 2
4
Range:
Interval: 4, 2 1, 3
Inequality: 4
2
and 1
3
23)
y
Domain:
Interval: ,
Inequality: all real numbers Range:
x Interval: 1,
Inequality: 1
25)
y
Domain:
Interval: 4,4
Inequality: 4
4
x Range:
Interval: 2,2
Inequality: 2
2
22)
Inequality: 0
5
Range:
x Interval: 0, 1, 2, 3, 4
Inequality: 0, 1, 2, 3, 4
y
Domain:
Interval: 4,4
x Inequality: 4
4
Range:
Interval: 2,2
Inequality: 2
2
24)
y
Domain:
Interval: 5, 1
1,5
x Inequality: 5
1
1
5
Range:
Interval: 4, 2 2,4
Inequality: 4
2
and 2
4
26)
y
Domain:
Interval: , 1 1,
x Inequality:
1
Range: Interval:
, 1
1,
Inequality:
1
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