Question

what is the value of f(1)?

Answer 1

Answer:

The option (A) is correct that is f(1) =0 .

Step-by-step explanation:

We can see from the given graph that it is step function

and also interpret as :

value of function at value of  x are:

at x= 1 is f(1) =0

at x=2 is  f(1) =1

at x=4 is  f(1) =2

at x= -2 is  f(1) = -1

at x= -4 is  f(1) = -2

Hence, the option (A) is correct that is f(1) =0 .

   

Answer 2

The function f (1) has the value between the second interval of [1,2]. The value of the function, $f(1)$ is 1, as,

$f(1)=1$

What is step function?

Step function is represent in the steps of linear equation over the graph. Step function keeps the constant values at the difference places.

Given information-

The step function are graphed in the given problem.

Keep the values of variable x to find the value of $f(1)$ at difference places.

The value of $f(1)$ has to be find out.

The middle (third) interval [0,2], is closed at 0 but open at 2. Therefore when the value of x is between the 0 and 1.9999..., the value of function is 0.

$f(x)=0$

Thus the function of the middle step is,

$f(x)=0,0\leq x$

For the second interval, [1,2], function is closed at 1 but open at 2. Therefore when the value x is between the 1 and 1.999... , the value of function is -1,

$f(x)=1$

Thus the function of the second step is,

$f(x)=1,2\leq x$

Thus the value of the function, $f(1)$ is 1, as,

$f(1)=1$

Learn more about the step function here;

https://brainly.com/question/4008206