Skill Check after HW Check Graphing Linear Functions

Homework Check

Graphing Linear Functions Skill Check Graphing Linear Functions

What can you tell me about this graph?

Interval Notation

Domain Range The x-values in the graph The y-values in the graph LEFT to RIGHT The y-values in the graph BOTTOM to TOP

What are the domain and range?

What are the domain and range?

What are the domain and range?

Zeros, Roots & Solutions The points where the graph crosses the x-axis. Called a zero, because if you plug in the x-value, you get out a zero. Also called x-intercept.

What are the zeros?

Interval of Increase/Decrease Sweep from left to right and notice what happens to the y-values Increasing goes up (L to R) Decreasing falls down (L to R) Constant is a horizontal graph

Where is it increasing and decreasing?

Where is it increasing and decreasing?

Where is it increasing and decreasing?

Intercepts x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

What are the intercepts?

End Behavior What a function keeps doing after it leaves the graph. As x goes to the right, where does y go? As x goes to the left, where does y go? Your answers will be: None, a number, , or . Usually one of the last two.

End Behavior

Rate of Change The rate of change is the average slope of a graph over a given period. The period is defined by [x2, x1]. The rate of change formula is:

Rate of Change

Analyze this graph domain, range, intervals of increase and decrease, solution, x- and y-intercepts, end behavior, and rate of change over [-7, 3]