Question

Which graph represents the function f(x)= 0.2^x + 3

Answer 1

Answer: correctly is c

Explanation:

Answer 2

The third graph or bottom left graph represents
`f(x) = 0.2^(x) + 3.`

Explanation:

Step 1:

To determine which of the given graphs represents the equation
`f(x) = 0.2^(x) + 3`, we substitute some values in the place of x.

When
`x=0,`
`f(x) = 0.2^(x) + 3, f(0) = 0.2^(0) + 3= 4.`

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents
`f(x) = 0.2^(x) + 3.`

When
`x=1,`
`f(x) = 0.2^(x) + 3, f(1) = 0.2^(1) + 3= 4.2.`

The value of f(x) when
`x=1` is lesser than the value of f(x) when
`x =0.`

So the third graph or bottom left graph represents
`f(x) = 0.2^(x) + 3.`