Chapter 1, Problem 3CR

To determine

To Find: The option which is not a function.

Answer to Problem 3CR

  $\text{B) }\left\{\left(3,5\right),\left(5,8\right),\left(8.10\right),\left(3,12\right)\right\}$ is not a function.

Explanation of Solution

Given information:

The options

  $\begin{array}{l}\text{A) }y=x+2\\ \text{B) }\left\{\left(3,5\right),\left(5,8\right),\left(8.10\right),\left(3,12\right)\right\}\end{array}$

C

D) $f(x)=4-3x^2$

Concept and Formula Used:

Function: A function is relationship between input and output where each input has unique output

Calculation:

The given options are

  $\begin{array}{l}\text{A) }y=x+2\\ \text{B) }\left\{\left(3,5\right),\left(5,8\right),\left(8.10\right),\left(3,12\right)\right\}\end{array}$

C

D) $f(x)=4-3x^2$

In option ‘B’ there are two different outputs for number 3 i.e. 4 and 12 and according to definition of functions each input has unique output. Therefore option ‘B’ is not a function.

Conclusion:

  $\text{B) }\left\{\left(3,5\right),\left(5,8\right),\left(8.10\right),\left(3,12\right)\right\}$ is not a function.