Resource Manager #3: Calculators and markers 8-4: In notebook write y = bx and your team’s case below: Blue:  0 < b < 1 Red:  0 < b < 1 Stripes: b > 1 Orange: b > 1 Purple: b = 0 Yellow: b = 0 Pink: b = 1 Green: b = 1

8.1.1 Exponential Graphs March 28, 2019 HW: 8-14,15,17,18,19,20

Objectives CO: SWBAT graph various types of exponential graphs in the form of y = bx. LO: SWBAT explain what changing the b value does to the shape of the graph.

8-4. INVESTIGATING y = bx, Part Two Now that you have found all the possible graphs for y = bx, your teacher will assign your team one or two of the types of graphs to investigate further.  Completely describe the graphs.  Use the “Discussion Points” below to guide your investigation of this graph.  Look for ways to justify your summary statements using more than one representation (equation, table, graph). As a team, organize your graphs and summary statements into a stand-alone poster that clearly communicates what you learned about your graphs.  Be sure to include all of your observations along with examples to demonstrate them.  Anyone should be able to answer the questions below after examining your poster.  Use colors, arrows, labels, and other tools to help explain your ideas. How does changing the value of b change the graph?  What happens when x gets larger?  What happens when x gets smaller? Which aspects of the graph do not change? How can we fully describe the graph?

Graph Investigation Questions To fully describe a graph, include: Shape/name of function family? Increasing or decreasing? x- and y-intercepts? Domain and range? Continuous or discrete? Asymptotes? Poster

Gallery Walk Take notes in your notebook about each of the first four stations Add anything missed on the last four stations