Chapter 1 | Functions and Graphs
31
26. f ( x ) =− x 2 x
28.
y
x y
−3 −9 1
−1
−2 −4 2
−4
−1 −1 3
−9
0
0
27. f ( x ) = x 3
y
x
x y
29.
−3 −27 1
1
−2 −8
2
8
−1 −1
3
27
0
0
For the following exercises, use the vertical line test to determine whether each of the given graphs represents a function. Assume that a graph continues at both ends if it extends beyond the given grid. If the graph represents a function, then determine the following for each graph: a. Domain and range b. x -intercept, if any (estimate where necessary) c. y -Intercept, if any (estimate where necessary) d. The intervals for which the function is increasing e. The intervals for which the function is decreasing f. The intervals for which the function is constant
30.
g. Symmetry about any axis and/or the origin h. Whether the function is even, odd, or neither
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