Exponential Function (Lesson 1)

Exponential Function

(Week 2 Lesson #1)​

By Dr Kee

Graph each equation. Make sure the y-intercept and the horizontal asymptote are clear.

Please number the axes on your graphs.​

Draw

$$y=4\left(3\right)^x$$  

Draw

$$y=12\left(3\right)^{-x}$$  

Draw

$$y=0.4\left(2\right)^x$$  

Draw

$$y=\left(0.3\right)^x+2$$  

Draw

$$y=3\left(0.45\right)^x-2$$  

Open Ended

If $$y=2\left(0.8\right)^x$$   and $$y=ab^x$$  , what is the value of a?

Open Ended

If $$y=3\left(15\right)^x-12$$   and $$y=ab^x$$  , what is the value of b?

Open Ended

If $$y=60\left(0.2\right)^{-x}+20$$   and $$y=ab^x$$  , what is the value of a?

Open Ended

If $$y=10\left(0.35\right)^x+4$$   and $$y=ab^x$$  , what is the value of b?

Open Ended

$$y=3\left(4\right)^x$$  , is the graph increasing (growth) or decreasing (decay)?

Hint: look at the value of b

Open Ended

$$y=0.5\left(3\right)^x$$  , is the graph increasing (growth) or decreasing (decay)?

Hint: look at the value of b

Open Ended

$$y=2\left(0.25\right)^x$$  , is the graph increasing (growth) or decreasing (decay)?

Hint: look at the value of b

Open Ended

$$y=\left(0.5\right)^x+4$$  , is the graph increasing (growth) or decreasing (decay)?

Hint: look at the value of b

HOMEWORK

Please check

Microsoft Team

(Due next lesson!)​

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TODAY's TAKE AWAY