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# 2.2.2 the graph of a function

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### 2.2.2 the graph of a function

1. 1. Analyze the graph of a function symbolically<br />2.2 The Graph of a Function<br />
2. 2. Is the point (3, 2) on the graph of f ?<br />Is the point (-1, 2) on the graph of f?<br />NO<br />YES<br />
3. 3. If x = -2, what is f(x)? What point is on the graph?<br />If x = 1, what is f(x)? What point is on the graph?<br />(-2,12)<br />(1,0)<br />
4. 4. If f(x) = 2, what is x? What point(s) are on the graph?<br />If f(x) = 6, what is x? What point(s) are on the graph?<br />(0,2), (3,2)<br />(4,6), (-1,6)<br />
5. 5. What is the domain of f ?<br />List the x-intercept(s), if any, of the graph of f.<br />x-intercepts (2,0), (1,0)<br />
6. 6. List the y-intercept, if there is one, of the graph of f.<br />y-intercept (0,2)<br />
7. 7. Is the point (3, -6) on the graph of f ?<br />Is the point (-1, 2) on the graph of f?<br />NO<br />YES<br />
8. 8. If x =5, what is f(x)? What is the point on the graph of f ?<br />If x = 2, what is f(x)? What is the point on the graph of f ?<br />(5, 8)<br />(2, -5/2)<br />
9. 9. If f(x) =0, what is x? What point(s) are on the graph of f ?<br />If f(x) = 2, what is x? What point(s) are on the graph of f ?<br />(-3, 0)<br />(11, 2)<br />
10. 10. What is the domain of f ?<br />List the x-intercept(s), if any, of the graph of f.<br />x-intercept (-3,0)<br />
11. 11. List the y-intercept, if there is one, of the graph of f.<br />y-intercept (0, -3/4)<br />
12. 12. p. 76 # 10, 23 - 28<br />Assignment<br />