Quadratic & Piecewise Functions

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Quadratic & Piecewise Functions by Mind Map: Quadratic & Piecewise Functions

1. What is a Piecewise Function?

1.1. A piecewise function is a function that is a combination of one or more functions.

2. Example of a Piecewise Function.

2.1. Movie tickets.

2.1.1. Different prices for different age groups.

2.2. Selling Mixed nuts.

2.2.1. Different prices for different amounts of nuts. (usually pounds).

3. The Rule of a Piecewise Function.

3.1. The rule of a piecewise function is different for different parts,or pieces, of the domain.

4. What is a Quadratic Function?

4.1. A quadratic function is where a, b, and c are numbers not equal to zero. The graph of a quadratic function is a curve called a parabola.

5. What is the rule of a Quadratic Function?

5.1. The graph of a quadratic function is a curve called a parabola.

6. Example of a Quadratic Function?

6.1. Throwing a ball.

6.1.1. You can use a quadratic function to find the amount of time it takes for the ball to hit the ground.

6.1.2. When you graph this function, it will be a parabola.

6.2. Tracking net worth.

6.2.1. You can use a quadratic function to find the amount of money you'll get after production, selling, and paying workers for your item.

6.2.2. The graph will be a parabola. It can show the height of sales, the low of sales, the lowest possible amount of profit you can get , or the most possible amount of profit you can get.

7. What is the formula of a piecewise function?

7.1. There is no formula. It is a set of data that you follow based on your numbers like:

7.2. f(x)=[-2x+8 if x <(or equal to) 4 1/2x-2 if x>4.

8. What is the formula of a Quadratic Function?

8.1. f(x) = ax2 + bx + c,