Week 2: What is a function?

A function is when for every input there is a unique and single output. The function notation is usually a variable such as f or g following by (x). For example, an equation of a function would be f(x) = 3x+4. The domain is what you can out into the value for x. For square roots, the function should be set greater than or equal to zero. For functions with the x on the denominator, you have to set it equal to zero to find the values it cannot be (any value that makes the denominator zero. Fr equations that have a square root as the denominator, instead if setting it greater than or equal to zero, you must set it greater than so that the the value does not equal zero. To test if a graph is a function, the vertical line test may be used. The vertical line test is a test in which you place a vertical line over the graph and if two points on the line touch the vertical line, then it is not a function. Finally, the names for x-intercepts come in different forms meaning the same thing. The names are roots, zeros, and solutions.