1. Key Features of a Functions
Identifying and Determine
Key Features

2. Key features of a function:
Characteristic that make up a graph of a particular given function
Example:
X-intercept
Y-intercept
Vertex
Axis of symmetry
Etc.

3. Examples of functions:

4. Domain and Range: Domain: Range Input of a functions
All the x-values of a given function
Range
Output of a functions
All the y-values of a given functions

5. Finding Domain/Range
Find the range of the given function f(x) = 2x -4 given domain of {-3, 2, 0, 1}
Find the domain of g(x) =-3x3 +2x2 – 5 given the range {-5, -21, 27}

6. Increasing vs. Decreasing Intervals
Where the functions is increase or decrease in values

7. Positive vs. Negative Positive: Negative:
Where the graph is above the x-axis
Where your y-value is positive
Negative:
Where the graph is below the x-axis
Where your y-value is negative

8. Vertices: Points of maximum or minimum of a graph
Refer to as turning point
Where the graph goes from increase to decrease or vice versa

9. Ending Behavior: What happen at the end of each graph
As x get larger or smaller, what happens to your y values

10. X- and Y- intercepts X-intercept Y-intercept Zeros/roots/solutions
Points where the graph cross the x-axis
Y-intercept
Point where the graph cross the y-axis

11. Symmetry
A line that can cut the graph in half
Reflection line

12. Do you understand key features now?
LET’s PRACTICE

13. Find all the key features: