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    Evaluating Functions - Math is Fun

    What is the difference between evaluating a function and an equation?
    While the notation and wording is different, the process of evaluating a function is the same as evaluating an equation: in both cases, you substitute 2 for x x, multiply it by 4 and add 1, simplifying to get 9. In both a function and an equation, an input of 2 results in an output of 9.
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    Evaluating a Function: Step by Step Examples - Stati…

    Most of the time in calculus, we give functions names like “f” or “g” in place of the generic “y”. They are evaluated in exactly the same way. For example, f(x) = 3x is evaluated in the same way as y = 3x. The following functions are all the same: 1. y = x2 + 4x -1 and f(x) = x2+ 4x -1 2. y = 3x3 + 12x -10 and f(x) = 3x3+ 12x -10 3. y = 9x -1 and f...

    Statistics How To

    When you evaluate a function, you plug in an x-value and find a y-value. You’ll be given an equation written in function notation; The question might be worded in a few of different ways. You’ll find three different examples below: 1. Evaluate f(x) = 2x2 for x = 2(Example 1), or 2. Evaluate f(2)= 2x2 (Example 2), 3. Evaluate f(x) = 4x2 – x for f(x ...

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    Example question #1: Evaluate f(x) = 2x2-3x for x = 2. Step 1: Replace every “x” on the right hand side and the left with the x-valuegiven in the question. We’re told to evaluate the function at x = 2, so: 1. f(2) = 2(2)2 -3(2) Step 2: Solve the right hand side of the equation using the usual order of operations (PEMDAS): 1. f(2) = 2(2)2 -3(2) 2. f...

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    Some functions can’t be solved without a little algebra to get y on the left hand side on its own. For example, if you wanted to solve the implicit equation x2+ 2y = 1: 1. Subtract x2 from both sides: 2y = 1 – x2 2. Divide both sides by 2: y = (1 – x2)/2

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    Function inputs don’t have to be just numbers. You can also input algebraic expressions like x2or (x – 1) as well. These will sometimes need a little algebra to simplify. The following examples show various inputs for the function f(x) = 2x + 1: 1. f(1) = (2 * 1) + 1 = 3 2. f (-2) = (2 * -2) + 1 = -3 3. f(z) = 2z + 1 4. f(c) = 2c + 1 5. f(x2) = 2x2...

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