We are going to rewrite the functions correctly:
f (x) = (1/4)
f (x) = (0.4) ^ x
f (x) = 4 ^ x
f (x) = (1/2) ^ x
We observe that we have functions of the form:
f (x) = A (b) ^ x
When
b> 1 The function grows
b <1 Function decreases
Therefore, the function that is growing is:
f (x) = 4 ^ x
Answer:
The function that is increasing is:
f (x) = 4 ^ x
option C)