Q:

How do I solve piecewise functions?

A:

Quick Answer

Piecewise functions are solved by graphing the various pieces of the function separately. This is done because a piecewise function acts differently at different sections of the number line based on the x or input value.

Know More

Full Answer

The function should be analyzed to determine the nature of the various pieces.

Step 1: Determine the value

Determine the value where x will be equal for all the pieces. This will be the dividing line between the different lines that represent the various pieces.

Step 2: Graph

Graph the various pieces in their own area of the number line.

Step 3: Solve

Solve for specific values by locating them on the graph.

Learn more about Calculus

Related Questions

  • Q:

    What are antiderivatives of trig functions?

    A:

    The antiderivative of a trigonometric function is an alternative way of deducing the integral of the function, according to educators at Massachusetts Institute of Technology. The integral of the function is basically the derivative backwards. In the case of trigonometric functions, the antiderivative of a trigonometric identity is its derivative reverse.

    Full Answer >
    Filed Under:
  • Q:

    What is the definition of a function?

    A:

    A function is any equation where for any input in the equation, the output yields exactly one value. Typically, the input is called x and the output is called y.

    Full Answer >
    Filed Under:
  • Q:

    What is latent function?

    A:

    A latent function is an unintended or unrecognized consequence of an institution or social phenomenon. Unexpected negative consequences are typically called latent dysfunctions. School, for example, has the explicit, or manifest, function of educating individuals, but a latent function of teaching students about navigating social structures and relationships and keeping children off the streets for six to 10 hours a day.

    Full Answer >
    Filed Under:
  • Q:

    What is a linear function?

    A:

    A linear function is a function whose graph is a line in the plane. The characteristic property of these functions is that when the value of the input variable is changed, the change in the output is a constant multiple of the change in the input variable.

    Full Answer >
    Filed Under:

Explore