Key Features of a Functions Warm Up Graphing Functions F(x) = -1/2x – 4 G(x) = - 3x2 – 4x + 3 H(x) = 5* 2x Key Features of a Functions Identifying and Determine Key Features

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.

Examples of functions:

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

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}

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

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

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

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

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

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

Do you understand key features now? LET’s PRACTICE

Find all the key features: