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Chapter 3: Q. 103 (page 158)

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

Short Answer

Expert verified

No there does not exist a quadratic function whose range is of whole real numbers

Step by step solution

01

Given information

We are asked that is there a functionf(x)=ax2+bx+cwhose range is(-∞,∞)

02

Explanation

No. there does not exist a quadratic equation whose range is whole real numbers. It is not possible for a function to have range of whole real numbers There must be a minimum and maximum value that will be located at the functions vertex.

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Most popular questions from this chapter

Match each graph to one the following functions.

f(x)=x2+2x+1

Match each graph to one the following functions.

f(x)=x2-2x+2

If the slope m of the graph of a linear function is________, the function is increasing over its domain.

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Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

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