Concept explainers
To match the function represented in the graph with its equation.
The option h , f(x)=−sin(x) , seems to be the best match of the function represented in the graph.
Given the graph of a function:
Concepts Used:
The sine function:
The sine function f(x)=sin(x) has the graph given below.
Reflection about the x-axis:
Given a function y=f(x) .
The transformation y=−f(x) reflects y=f(x) about the x -axis.
Determining the function:
Observe the graph of the function, it seems like a sine function reflected about the x -axis.
Now, the sine function f(x)=sin(x) is reflected about the x -axis when it is applied with the transformation f(x)=−sin(x) .
Thus, the function represented by the graph is f(x)=−sin(x) .
That is, the option h represents the graph given in the problem.
Conclusion:
The option h , f(x)=−sin(x) , seems to be the best match of the function represented in the graph.
Chapter 1 Solutions
PRECALCULUS:GRAPHICAL,...-W/ACCESS
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