Warm Up Review topics find the missing values

Warm Up / Review topics; find the missing values. • •

Test 3 Thursday Dec 5, 2013 Footer Text 2/11/2022 2

3. 1. 3 How Does it Grow? ? ? Footer Text 2/11/2022 3

Today • We will learn how to find an exponential function to fit given any two points. • At first we start with two consecutive points, where one of the points will be the initial value. • Next we will move onto any given two points, where the initial value is given. • Finally, we will fit an exponential function to any two points. • Make sure to take careful notes at each step. Footer Text 2/11/2022 4

Given the two points below please come up with a graph, equation and table (with at least 5 points) that models the exponential growth/decay. (0, 5) and (1, 15) Graph: Equation: Table: X f(x) -2 0. 5556 -1 1. 667 0 5 1 15 2 45 2/11/2022 5

Given the two points below please come up with a graph, equation and table (with at least 5 points) that models the exponential growth/decay. (0, 3) and (-1, 6) Graph: Table: X f(x) -2 12 -1 6 0 3 1 1. 5 2 0. 75 2/11/2022 6

X 0 f(x) 0. 5 2 8 2/11/2022 7

X X f(x) 00 0. 5 1 2 2 8 3 32 4 128 2 8 Check your answer on your calculator 2/11/2022 8

X 0 f(x) 4 3 500 2/11/2022 9

X f(x) 0 4 1 20 2 100 3 500 4 2500 Check your answer on your calculator 2/11/2022 10

X f(x) 0 60 10 6. 4425 2/11/2022 11

X f(x) 0 60 10 6. 4425 Check your answer on your calculator 2/11/2022 12

X f(x) 1 9 5 5. 9049 Check your answer on your calculator 2/11/2022 13

X 1 f(x) 72 4 124, 416 Check your answer on your calculator 2/11/2022 14

Homework!? !? !? • Sec 3. 1. 3 • Page 126 #36, 37 • Page 128 Review And Preview • #39 through #41