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Below are the graphs of functions over the interval [-4,4]. Find the following for each function:

The domain

Zeroes of the function(the values of x where the value of the function is 0)

Intervals where the function is positive and intervals where it is negative

Below are the graphs of functions over the interval 44 Find the following for each functionThe domainZeroes of the functionthe values of x where the value of th class=


Answer :

For the given function, we have that:

  • The domain is [-4,4].
  • The function has no zeros.
  • The function is positive for x <= 0.
  • The function is negative for x > 0.

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.

Hence, the domain is [-4,4] for the given function.

What are the zeros of a function?

The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.

For this problem, the function does not cross the x-axis, hence it has no zeros.

When a function is negative and when it is positive?

Looking at a graph, we have that:

  • It is positive if it is above the x-axis.
  • It is negative if it is below the x-axis.

Hence, for the given function:

  • The function is positive for x <= 0.
  • The function is negative for x > 0.

More can be learned about functions at https://brainly.com/question/24808124

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