Question

Which function is represented by the graph below?

A. f(x) = 3x

B. f(x) = 3x − 3

C. f(x) = 3x + 3

D. f(x) = 3(x + 3)

Answer 1

this would be an exponential graph and non of the answers are exponential. but the graph would be f(x)=3^x

Answer 2

Equation:
`f(x)=3^x`

A is correct

Explanation:

Given: The graph of a function on x-y coordinate plane.

y-intercept: (0,1)

Graph starts from II quadrant touches x-axis at infinity.

End in I quadrant increases gradually.

This is property of exponential function.

`y=ab^x`

y-intercept: (0,1)

`1=a`

Passing point: (1,3)

`3=b^1`

b=3

Equation of graph:

`y=3^x`

Hence, The equation of given graph is
`y=3^x`