Question

Match the following. Graph of f(x) is given

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

P. function $f(-x)$ attains the same value of $f\left(x\right)$ for the negative value of x.

It means$f(-x)$ will attain the value $f\left(1\right)$ when $x=-1$. So the graph $f(-x)$ will be the mirror image of $f\left(x\right)$ about y-axis.So the graph will be

Q. $-f\left(x\right)$ means, multiply all the values of $f\left(x\right)$ by -1. All the +ve values will become negative with same magnitude and vice - versa.

So the graph of $-f\left(x\right)$ will be the reflection of $f\left(x\right)$ about x-axis.

So the graph will be

R. $-f(-x)$ can be considered as a combination of $f(-x)$ and $-f\left(x\right)$.

In R, we got the graph of $f(-x)$. To get the graph of $-f(-x)$, take the reflection of $f(-x)$ about x-axis.So the graph will be