MBF3C Lesson #3: X and Y Intercepts of Exponential Relations
On page of your textbook if you need a greater understanding of how to tell if a given function is linear, quadratic or exponential.
X and Y Intercepts of Exponential Relations
1. a graph 2. an equation 3. a word description
Create a table of values Classify as Linear/Quadratic/Exponential Determine a formula for Linear and Exponential relations
In your group, complete a table of values AND use the graphing calculator to graph three of the following exponential relations.
Certain bacteria, under the right conditions, multiply themselves. You will use strips of paper, each representing a bacterium, to model its growth. For this activity, each member of your group must choose a role: Recorder - records data Counter - counts pieces for recorder Reader - reads questions for other group members Facilitator - keeps discussion of topic going Cut your strip(s) of paper into _______ equal pieces How any total pieces to you have? _______ Cut each piece into ________ equal pieces. How many pieces do you have? ______ Continue to cut each piece into ________ equal pieces to complete the table: Graph your result. Identify characteristics of your graph. x-intercept y-intercept Create an equation to model the data.
1. An antique costs $800. Its value increases by 15% each year. x-intercept: y-intercept: Equation:
2. The population of Mathville is Each year, the population increases at a rate of 3.4% x-intercept: y-intercept: Equation:
Exponential Growth Formula: Amount after increase Amount before increase Rate of increase Time
1. In your group, complete a table of values or use the graphing calculator to graph three of the following exponential relations.
2. For each exponential relation, describe its characteristics:
Decay formula Amount after decrease Initial amount before decrease Rate of decrease Time Exponential Decay Formula:
Question 2 on slide 5, page 2 of lesson notes Question 2 on slide 11, page 3 of lesson notes + Page 390 – 391 Q# 1 - 6