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Chapter 2: Q. 35 (page 69)

Determine whether the equation defines y as a function of x.

y=2x2-3x+4

Short Answer

Expert verified

The given equation is a function.

Step by step solution

01

Step 1. Given information

In the given question we have to determine whether the equation defines y as a function of x.

y=2x2-3x+4

02

Step 2. The given equation is y=2x2-3x+4

The equation tells us to take an input xand find their square.

For any input x, these operations yield only one output y.

03

Step 3. For example, 

If x=1, then

role="math" localid="1645889500415" y=2(1)2-3脳1+4y=2-3+4y=3.

If x=2, then

role="math" localid="1645889543035" y=2(2)2-3脳2+4y=2脳4-6+4y=8-6+4y=6.

For this reason, the equation is a function.

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Most popular questions from this chapter

In Problems 19-26,write the function whose graph is the graph of y=x3but is:

Shifted to the right4 units

A right triangle has one vertex on the graph of y=9-x2,x>0, at x,y, another at the origin, and the third on the positive x-axis at x,0. Express the area Aof the triangle as a function of x.

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Match each graph to its function.

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Exploration Graph y=x3,y=x5, and y=x7 on the same screen. What do you notice is the same about each graph? What do you notice that is different?
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