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
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
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 >
A polynomial function is any function that contains more than one monomial, with non-negative exponents, and only contains addition, subtraction, multiplication or division operations. A monomial is a single term consisting of a coefficient and variable, even if the coefficient is one or the variable is 0 and isn't written explicitly.Full Answer >
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 >
The inverse function of ln(x) is e^x, where e is the mathematical constant e = 2.718. One can easily check that these two functions are inverses of each other by noting that ln(e^x) = e^ln(x) = 1.Full Answer >