"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2<span>."
</span>2. What is the difference between a linear and non-linear function?
"The equation of a linear function has no exponents higher than 1, and the graph of a linear function is a straight line. The equation of a nonlinear function has at least one exponent higher than 1, and the graph of a nonlinear function<span> is a curved line." </span> <span>3. Constant Interval, and how does it appear on a graph
</span>Definition: "Determine the intervals on which a function is increasing, decreasing or constant<span> by looking at a graph. Determine if a function is even, odd, or neither by looking at a graph. Determine if a function is even, odd, or neither given an equation."
How does it appear on a graph? </span> "Functions can either be constant, increasing as x increases, or decreasing as x<span> increases." </span> <span>4. Identifying the rate of change </span> Yes, you can:
"Consider the line y = 2x + 1, shown at the right. Notice that this slope will be the same if the points (1,3) and (2, 5) are used for the calculations. For straight lines, therate of change<span> (slope) is constant (always the same). For every one unit that is moved on the x-axis, two units are moved on the y-axis." </span> <span>5. Determining if it is a linear function or not </span> "A linear function<span> is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept or where the graph of the line crosses the y axis. You will notice that this </span>function<span> is degree 1 meaning that the x variable has an exponent of 1." </span> THAT IS IT!! YAY!!! HOPE THIS HELPED ON YOUR REVIEW!!
