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Which is the graph of f(x)=1/4(4)×?

Which is the graph of f(x)=1/4(4)×?-example-1

2 Answers

5 votes

f(x)=(1)/(4)(4)^x\\\\for\ x=1\to f(1)=(1)/(4)\cdot4^1=1\to(1;\ 1)\\\\for\ x=2\to f(2)=(1)/(4)\cdot4^2=(1)/(4)\cdot16=4\to(2;\ 4)

Answer: The graph nr 4.

Other method:


f(x)=(1)/(4)\cdot4^x=4^(-1)\cdot4^x=4^(x-1)

Used:


a^(-1)=(1)/(a)\\\\a^n\cdot a^m=a^(n\cdot m)

Draw the graph of y = 4^x and next shift it 1 unit right.

Which is the graph of f(x)=1/4(4)×?-example-1
User Niladry Kar
by
8.1k points
6 votes

Answer:

The correct option is D.

Explanation:

Consider the provided function
f(x)=(1)/(4)(4)^x

Substitute x = 0 in the above function.


f(0)=(1)/(4)(4)^0


f(0)=(1)/(4)

Thus, the coordinate is (0,1/4).

Now substitute x = 1.


f(1)=(1)/(4)(4)


f(1)=1

Thus, the coordinate is(1,1).

Substitute x = 2.


f(2)=(1)/(4)(4)^2


f(2)=(1)/(4)(16)


f(2)=4

Thus, the coordinate is (2,4)

Therefore, the correct option is D.

User Kevin Tanudjaja
by
8.0k points

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