To calculate: Use the graph of the function to find the domain and range of f and each function value.
(a) f(−1) (b)f(0) (c) f(1) (d)f(2)

Answer to Problem 7E
f(−1)=−1f(0)=0f(1)=−1f(2)=8
Explanation of Solution
Domain is the set of all values of x for which the function is defined. From the graph, we can see that x varies from −2 to 2 i.e. x∈(−2,2]
Range is the set of all values of y which the function can take. From the graph, we can see that the value of y varies from −1 to 8 i.e. y∈[−1,8]
Finding f(−1) , from the graph we can see that y=−1 when x=−1 , as point (−1,−1) lies on the graph.
So, f(−1)=−1
Finding f(0) , from the graph we can see that y=0 when x=0 , as point (0,0) lies on the graph.
So f(0)=0
Finding f(1) , from the graph we can see that y=−1 When
x=1 , as point (1,−1) lies on the graph.
So f(−1)=−1
Finding f(2) , from the graph we can see that y=8 when x=2 , as point (2,8) lies on the graph.
So f(2)=8
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
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