EVALUATING & OPERATION OF FUNCTIONS

• Evaluating functions involves substituting the corresponding value of the input to the function to identify the corresponding output.
• In the example of evaluating the function f(x) = 3x + 1 at the value of x = 3, the corresponding output is 10.
• If the input of the function is 4, the corresponding output of the function is 13.
• Evaluating the function f(x) = 1/2^x at the value of x = 2 results in the output of one fourth.
• If the value of x is two, the function is equal to one fourth.
• Evaluating the function f(x) = 5^x - 2 + 1 at the value of x = 2 results in the output of 1 over 16.
• In the example of a piecewise function with x = 0, the output or the value of the function will be equal to 2.
• If x = 4, the sub function to be used in evaluating the piecewise function is the square root of x + 1.
• If the function is given as a piecewise function, the sub functions to be used in evaluating it are identified by looking at the given intervals.
• The output or the value of the function when x = 4 is equal to the square root of 5.
• The output or the value of the function when x = 2 is equal to 3.
• So, f(2) = 2.
• If x = 2, the sub function to be used in evaluating the piecewise function is 2x^2 - 5.