A function assigns the values. The function of the given graph is y=3(4)ˣ, thus, the correct option is C.
A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
If the parent function is y = 4ˣ, which is the function of the graph?
y = −2(4)ˣ
y = −3(4)ˣ
y = 3(4)ˣ
y = 2(4)ˣ
Since the graph intersect the y-axis at 3, and the parent function of the function is y=4ˣ, therefore, we can write,
y = A(4)ˣ
3 = A(4)⁰
3 = A × 1
A = 3
Hence, the function of the given graph is y=3(4)ˣ, thus, the correct option is C.
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