Question

On a piece of paper, graph f(x)= x if x<1

Answer 1

The required graph is shown in figure 1.

Explanation:

Consider the provided function f(x)=x if x<1

Here the sign of inequality is x<1.

That means the value of x can be anything less then 1.

Note the sign "<" indicates that the value x is strictly less than 1 also it is not equal to 1.

For x=1 the function is not defined.

For the inequity "<" and ">" we use an open dot or open circle which shows that the value is not included.

Now draw the table and substitute some value of x as shown.

Substitute x=0 in the provided equation.

f(x)=0

For x=0 the value of f(x) is also 0.

Substitute x=-1

f(x)=-1

For x=-1 the value of f(x) is also -1.

Substitute x=-2

f(x)=-2

For x=-2 the value of f(x) is also -2.

The required table is shown below:

x 0 -1 -2

f(x) 0 -1 -2

Now plot the above points and join them.

The required graph is shown in figure 1.

Answer 2

see below

Explanation:

The function is only defined for x < 1, and is undefined for x=1 or more. Thus the graph stops at x=1, with an open circle indicating the function is not defined there.