Identifying Features of Linear and Exponential FunctionsStandard: A.F.IF.4

Essential Question: How do I identify key features from a graph of a linear or exponential function?

What to identify for a linear function...

x-intercepty-interceptincreasing / decreasing / constantdomain / rangerate of change (slope)end behavior

Reminder

Reminder

Reminders:

When finding intercepts, plug in 0 for the other coordinate and solve. Or just look at the graph and see where the graph of the line touches each axis.

The domain (all x-values) and the range (all y-values) will be "All Real Numbers" for each linear function.

Asymptote: a line that the curve continually gets closer to but never touches (you will only be responsible for the horizontal asymptote of an exponential function).

Let's Graph...Graph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-int, y-int, rate of change, intervals of inc/dec., and end behavior.f(x) = 2x - 3

Let's Graph...Graph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-in, y-int, rate of change, intervals of inc/dec., and end behavior.f(x) = 1/2x + 2

Let's Graph...Graph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-in, y-int, rate of change, intervals of inc/dec., and end behavior.f(x) = -x - 1

What to identify for a exponential function...

x-intercepty-interceptincreasing/decreasingdecay/ growth

domain/rangehorizontal asymptoteend behavior

, and end behavior.

, and end behavior.

(1/2)x

, and end behavior.

2(1/2)x

, and end behavior.

Class work / Homework:

Your book, pg. 371-374, #'s 19-24

If you do not finish, it is homework, along with a worksheet.