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Chapter 2: Q. 2 (page 76)

True or False: The point -2,-6is on the graph of the equationx=2y-2.

Short Answer

Expert verified

The statement is false.

Step by step solution

01

Step 1. Given information

Need to check whether the statement "The point -2,-6is on the graph of the equation x=2y-2." is true or false.

02

Step 2. Check

For the point-2,-6, need to check whether x=-2and y=-6satisfies the equation x=2y-2or not.

x=2y-2-2=2-6-2-2=-12-2-2=-14

But -2鈮�-14.

Therefore, the equation is not satisfied.

03

Step 3. Final answer

The equation is not satisfied, so the point -2,-6is not on the graph.

Therefore, the given statement "The point -2,-6is on the graph of the equation x=2y-2" is false.

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Most popular questions from this chapter

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

f(x)=x-13+2

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Consider the equation

y=1ifxisrational0ifxisirrational

Is this a function? What is its domain? What is its range? What is its y-intercept, if any? What are its x-intercepts, if any? Is it even, odd, or neither? How would you describe its graph?

True or False

To obtain the graph of f(x)=x+2, shift the graph ofy=x horizontally to the right 2units.

In Problems 7鈥�18, match each graph to one of the following functions:

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