Choose the graph of the function. h ( x ) = 3 ⋅ 4 x

Answer 1

I assume you meant h(x) = 3·4^x. Look in your text book to see what the graph of an exponential function looks like in general. The graph of this particular exponential will cross through these points:

x h(x)

-1 3·4^-1 = 3/4

0 3·4⁰ = 3·1 = 3

1 3·4¹ = 3·4 = 12

2 3·4² = 3·16 = 48

If these points aren't shown on your choices, you can plug in different values of x and see what h(x) would be for that value of x. That should allow you to identify the proper graph.