Question

I need help with this please help me

Answer 1

Answer:

The graph is shown below.

Step-by-step explanation:

The given piecewise function is

$f(x)=\begin{cases}-x & \text{ if } x$

From the given piecewise function, it is clear that

$f(x)=-x$ for x<0.

Put different values of x in f(x) where x<0 and find the values of f(x) to make a table of values as shown below.

Table of values:

x    f(x)

-3    3

-2    2

-1    1

Now, plot the points (-4,4),(-3,3),(-2,2),(-1,1) and join them by straight line. There is an open circle at x=0 because 0 is not included in this function.

From the given piecewise function, it is clear that

$f(x)=x^2$ for $x\geq 0$.

Table of values:

x    f(x)

0    0

1     1

2    4

Plot the points (0,0), (1,1), (2,4) and join them by a curve. There is closed circle at 0 because 0 is included in this function.

The graph is shown below.