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Chapter 3: Q. 10 (page 176)

Is the following graph the graph of a function?

Short Answer

Expert verified

The given graph is the graph a function.

Step by step solution

01

Step 1. Given information.

Is the following graph the graph of a function?

02

Step 2. Determine the graph.

The goal of this task is to determine the given graph, the graph of a function.

We use the vertical line test. If the vertical line intersect the graph more than once, then the given graph is not the graph of function.

Here, we cant draw any vertical line that intersect the graph more than once, so the given graph is graph of function.

03

Step 3. Conclusion.

The given graph is the graph of a function.

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Most popular questions from this chapter

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

f(x)=2x2+4

True or False If the average rate of change of a linear function is 23, then if yincreases by 3,xwill increase by2.

Can a quadratic function have a range of(-鈭�,鈭�) ? Justify your answer.

The marginal cost C (in dollars) of manufacturing x cell phones (in thousands) is given by

C(x)=5x2-200x+4000

(a) How many cell phones should be manufactured to minimize the marginal cost?

(b) What is the minimum marginal cost?

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.
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