A.6.7.3 Domain, Vertex, and Zeros
- Author:
- Katie Akesson
Below are 4 sets of descriptions and equations that represent some familiar quadratic functions. The graphs show what a graphing technology may produce when the equations are graphed. For each function:
- Describe a domain that is appropriate for the situation. Think about any upper or lower limits for the input, as well as whether all numbers make sense as the input. Then, describe how the graph should be modified to show the domain that makes sense.
- Identify or estimate the vertex on the graph. Describe what it means in the situation.
- Identify or estimate the zeros of the function. Describe what it means in the situation.
The number of squares as a function of step number n: f(n) = n2 + 4
The distance in feet that an object has fallen t seconds after being dropped: g(t) = 16t2
The height in feet of an object t seconds after being dropped: h(t) = 576 - 16t2
Complete the following sentence stems: In general, the zeros of a function tell us . . . For example: . . . In general, the vertex of a graph that represents a function tells us . . . For example: . . . To determine an appropriate domain for a function, we need to consider . . . For example: . . . For teh examples you can use time as the input and height as the output.