Quadratics vs Piecewise Function

1. A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

2. Determine which form of quadratic equation you have. ... Define your variables. ... Calculate h. ... Calculate k. ... Plot your vertex. ... Draw the parabola's axis (optional). ... Find the direction of opening. ... If necessary, find and plot x intercepts.

3. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

4. same

5. they both can be graphed

6. To evaluate any piecewise function for a specific input, find the interval of the domain that contains that input and then use the rule for that interval.

7. A piecewise function that is constant for each interval of its domain, such as the ticket price function, is called a step function.

8. a functions that is a combination of one or more functions

9. they both have functions

10. they both have variables