Q62. - Algebra 2

Question

62. Which function is linear

  $\left(A\right)f\left(x\right)=x^2$

$\left(B\right)g\left(x\right)=2.7$

$\left(C\right)g\left(x\right)=\sqrt{x-1}$

$\left(D\right)f\left(x\right)=\sqrt{9-x^2}$

Step-by-Step Solution

Answer

The function $g\left(x\right)=2.7$is a linear function

Step 1- Given information

Some functions $f\left(x\right)=x^2,g\left(x\right)=\sqrt{x-1},f\left(x\right)=\sqrt{9-x^2}\text{ and }g\left(x\right)=2.7$

Step 2- To find the linear function

From the given information,

The function $f\left(x\right)=x^2$ is not a linear function because its degree is 2.

$g\left(x\right)=\sqrt{x-1},f\left(x\right)=\sqrt{9-x^2}$ both are not a linear function because can not write in the standard form of the linear equation.

The function $g\left(x\right)=2.7$is a linear function because we can write this in standard form of a linear function

Step 3- Conclusion

Therefore, the function $g\left(x\right)=2.7$is a linear function.

Hence, the correct option is (B).