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Zielflug [23.3K]
3 years ago
8

On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.

Mathematics
2 answers:
KIM [24]3 years ago
6 0

Answer:b

Step-by-step explanation:

amid [387]3 years ago
4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2^x

This is a exponential function of the form

y=a(b^x)

where

a is the initial value or the y-intercept

b is the base of the exponential function

If b>1 then is a exponential growth function

If b<1 then is a exponential decay function

In this problem

The y-intercept is equal to

For x=0

f(x)=2^0=1

The y-intercept is the point (0,1)

so

a=1

b=2

The value of b is greater than 1

so

Is a growth function

To plot the graph create a table with different values of x and y

For x=-1

f(x)=2^-1=0.5

point (-1,0.5)

For x=1

f(x)=2^1=2

point (1,2)

For x=2

f(x)=2^2=4

point (2,4)

For x=3

f(x)=2^3=8

point (3,8)

For x=4

f(x)=2^4=16

point (4,16)

Plot the y-intercept and the other points and connect them to graph the exponential function

Note that as x increases the value of y increases (exponential growth function)

The graph in the attached figure

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