Chapter 14: Q3. (page 574)

If $f (x) = x^{2} + 1$ , find $f (3)$ and $f (- 3)$ . Is $f$ a one-to-one function?

Short Answer

Expert verified

The value of $f (3)$ and $f (- 3)$ is 10 and the function f isnot a one to one function.

Step by step solution

Step 1. Given Information.

Consider the given function $f (x) = x^{2} + 1$ .

Step 2. Calculation.

Substitute 3 for $x$ in the function.

$\begin{matrix} f (3) = 3^{2} + 1 \\ = 10 \end{matrix}$

Substitute $- 3$ for $x$ in the function.

$\begin{matrix} f (- 3) = {(- 3)}^{2} + 1 \\ = 10 \end{matrix}$

So, the value of $f (3)$ and $f (- 3)$ is 10.

From the above, it is clear that the function f has same image value for $f (3)$ and $f (- 3)$ .

Step 3. Conclusion.

Therefore, the function f is not a one-to-one.

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If $f (x) = x^{2} + 1$ , find $f (3)$ and $f (- 3)$ . Is $f$ a one-to-one function?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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If fx=x2+1, find f3 and f-3. Is f a one-to-one function?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

If $f (x) = x^{2} + 1$ , find $f (3)$ and $f (- 3)$ . Is $f$ a one-to-one function?