FST 2-4B

Presentation

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Mathematics

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9th - 12th Grade

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Hard

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CCSS

HSF-IF.C.8B, HSF.LE.A.2, HSF-LE.A.1C

Standards-aligned

Phara Cherdsuriya

Used 14+ times

FREE Resource

3 Slides • 6 Questions

FST 2-4B Day 2 Notes

Exponential Function

Exponential Function

y = ab^x
a = initial value or initial amount
b = 1 + r, b > 1, if it is exponential growth, y = 2(4)^x
b= 1 - r, 0<b<1, if it is exponential decay, y = 2(0.5)^x
r is just rate in decimal, such as 10% increase, or 35% decrease
How do you find a from the graph? It is just y-intercept.

Multiple Select

Which of the followings are exponential functions?

k(j) = 3^j

h(x) = 5x²

p(t) = 2(1/3)^x

y = 3x - 10

How do you graph y=3^x

Create a table from x = -2,-1,0,1,2
Plot points (-2, 1/9) (-1, 1/3) (0, 1) (1, 3) (2, 9)
Label Horizontal Asymptote HA) y = 0

Multiple Select

Identify whether the following are growth.

y=3(1/2)^x

y=(1/2)(3)^x

y = 2(6.3)^x

y=500(0.02)^x

Multiple Select

Identify whether the following are decay.

y=3(1/2)^x

y=(1/2)(3)^x

y = 2(6.3)^x

y=500(0.02)^x-2

Fill in the Blanks

In 1950, Brea's population was 3,208 and it grew at a rate of 4.9% per year. Write an exponential functio to represent growth in t years. Remember that y = ab^x

Type answer...

Fill in the Blanks

In 1950, Brea's population was 3,208 and it grew at a rate of 4.9% per year. Using previous exponential equation, predict the population in 2010. Remember to use x as # of years since 1950.

Type answer...

Multiple Select

Find an exponential using a graphing calculator. Don't forget to do Stat Edit L1, L2, then Stat Calc ExpReg for an exponential function or model.

P= 10(10)^h

P = 2(10)^h

P = 10(2)^h

P = 2(2)^h

FST 2-4B Day 2 Notes

Exponential Function

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