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College Algebra, 2013a

College Algebra, 2013a

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114 Relations and Functions<br />

1.6.3 Answers<br />

1. f(x) =2− x<br />

Domain: (−∞, ∞)<br />

x-intercept: (2, 0)<br />

y-intercept: (0, 2)<br />

No symmetry<br />

3<br />

2<br />

1<br />

−2 −1 1 2 3<br />

−1<br />

y<br />

x<br />

2. f(x) = x − 2<br />

3<br />

Domain: (−∞, ∞)<br />

x-intercept: (2, 0)<br />

y-intercept: ( 0, − 2 )<br />

3<br />

No symmetry<br />

1<br />

y<br />

−1 1 2 3 4<br />

−1<br />

x<br />

3. f(x) =x 2 +1<br />

Domain: (−∞, ∞)<br />

x-intercept: None<br />

y-intercept: (0, 1)<br />

Even<br />

y<br />

5<br />

4<br />

3<br />

2<br />

1<br />

−2 −1 1 2<br />

x<br />

4. f(x) =4− x 2<br />

Domain: (−∞, ∞)<br />

x-intercepts: (−2, 0), (2, 0)<br />

y-intercept: (0, 4)<br />

Even<br />

y<br />

4<br />

3<br />

2<br />

1<br />

−2 −1 1 2<br />

x<br />

5. f(x) =2<br />

Domain: (−∞, ∞)<br />

x-intercept: None<br />

y-intercept: (0, 2)<br />

Even<br />

y<br />

3<br />

2<br />

1<br />

−2 −1 1 2<br />

x

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