Free Printable 2-6-24 Growth/Decay Notes

1.

A. P4 - The values of $f\left(x\right)$ = $2^x$ (a) as the value of x increases.

The values of $g\left(x\right)$ = $\left(\frac{1}{2}\right)^x$ (b) as the value of x increases.

Choose from the below words

increase

decrease

stay the same

2.

C. P4 - Use the graphs of $f\left(x\right)\ and\ g\left(x\right)$ to match the following key characteristics of each function:

a)

Domain

1.

All Real Numbers

b)

Range

2.

$f\left(x\right)>0$

c)

End Behavior

3.

$-\infty\ \leftrightarrow+\infty$

d)

Horizontal Asymptote

4.

$y=0$

e)

Y-intercept

5.

$\left(0,1\right)$

3.

D. P4 - The domain, range, horizontal asymptote, and y-intercept values are all (a) . The end behaviors are (b) . The graphs are (c) across the (d) .

Choose from the below words

the same

different

inverted

reversed

reflections

y-axis

x-axis

4.

E. P4 - The function increases exponentially for (a) and decreases exponentially for (b) .

Choose from the below words

b > 1

0 < b < 1

5.

A. P5 - The parent function (a) because it is in the form (b) .

Choose from the below words

$f\left(x\right)=3^x$

$f\left(x\right)=b^x$

<

6.

B. P5 - The y-intercept of (a) is (b) times the y-intercept of (c) .

Choose from the below words

2

g(x)

f(x)

3

7.

C. P5 - $f\left(1\right)$ = (a) , $g\left(1\right)$ = (b)

The value of $g\left(1\right)$ is (c) times the value of $f\left(1\right)$ .

Choose from the below words

3

6

2

8.

D. P5 - The graph of (a) is twice as steep as the graph of (b) since the coefficient 2 of (c) is twice the coefficient 1 of (d) ; The graph of g(x) is a vertical (e) of the graph of f(x) by a factor of 2.

Choose from the below words

g(x)

f(x)

stretch

compression

9.

E. P5 - The asymptote of the graph of j(x) is (a) units (b) than that of the graph of g(x).

Choose from the below words

4

higher

3

2

lower

10.

A. P6 - What transformations do these parameters represent?

$y=a\left(b\right)^{\left(x-h\right)}+k$

g(x) = $2\left(\frac{1}{2}\right)^{\left(x-4\right)}-1$

a)

2

1.

Vertical Stretch

b)

$\frac{1}{2}$

2.

decreasing function

c)

-4

3.

Translation to the right

d)

-1

4.

Translation down

e)

x

5.

input

11.

C. P6 - Why does part of the graph of g(x) lie below the x-axis?

a)

Because k = -1

b)

Because k = -4

c)

Because h = -1

d)

Because h = -4

100 %

2-6-24 Growth/Decay Notes

Total questions: 11

Worksheet time: 17mins

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