Question

Graph the equation F(x)=(1/3)^x

Answer 1

The value of a=9,b=3 and c=1

Step-by-step explanation:

The graph shown is for function f(x)

The given function is f(x)=$(\frac{1}{3}) ^{x}$

Table says,

X      Y

-2      a

1        b

0       c

1     (1/3)

2    (1/9)

To find value of a:

From table, for output value a, input value, x=(-2)

we can write f(-2)=a

Therefore,

f(x)=$(\frac{1}{3}) ^{x}$

f(-2)=$(\frac{1}{3}) ^{(-2)}$

a=$(\frac{1}{3^{(-2)}})$

a=$3^{(2)}$

a=9

To find value of b:

From table, for output value a, input value, x=(-1)

we can write f(-1)=b

Therefore,

f(x)=$(\frac{1}{3}) ^{x}$

f(-1)=$(\frac{1}{3}) ^{(-1)}$

b=$(\frac{1}{3^{(-1)}})$

b=$3^{(1)}$

b=3

To find value of c:

From table, for output value a, input value, x=(0)

we can write f(0)=c

Therefore,

f(x)=$(\frac{1}{3}) ^{x}$

f(0)=$(\frac{1}{3}) ^{(0)}$

c=$(\frac{1}{3^{(0)}})$

c=1