Question

Which of the following is a function equivalent to f(x)=4(1.8)?

1) f(x)=4(3.24)
2) f(x)=4(1.6)
3) f(x)=4(2.2)
4) f(x)=4(2.5)

Answer 1

The function equivalent to f(x) = 4(1.8) is f(x) = 4(2.2).

The correct option is 3) f(x)=4(2.2)

Step-by-step explanation:

To find a function equivalent to f(x) = 4(1.8), we need to find a function with the same multiplication factor (4) and a different base (x).

Let's consider the following functions:

1) f(x) = 4(3.24)

In this case, the multiplication factor is still 4, but the base is different (3.24). This function is not equivalent to f(x) = 4(1.8), because the base is not the same.

2) f(x) = 4(1.6)

Here, the multiplication factor is still 4, but the base is smaller than the base in f(x) = 4(1.8). This means that the output of this function will be smaller than the output of f(x) = 4(1.8), for any value of x. Therefore, this function is not equivalent to f(x) = 4(1.8).

3) f(x) = 4(2.2)

In this case, the multiplication factor is still 4, and the base (2.2) is slightly larger than the base in f(x) = 4(1.8). This means that the output of this function will be slightly larger than the output of f(x) = 4(1.8), for any value of x. Therefore, this function is equivalent to f(x) = 4(1.8).

In summary, when finding a function equivalent to another function, we need to make sure that both functions have the same multiplication factor and different bases with similar values. By doing so, we can ensure that both functions have similar outputs for any value of x.

Therefore, The correct option is 3) f(x)=4(2.2)