Answer:
The best description of the graph of the function f(x) = 60(One-third)x is that the graph has an initial value of 60, and each successive term is determined by multiplying by One-third.
To understand this, let's break it down step by step:
Explanation:
1. The function f(x) = 60(One-third)x represents an exponential function. The base of the exponential function is One-third, as indicated by (One-third)x.
2. The initial value of the function, represented by f(0), is 60. This means that when x = 0, the function has a value of 60.
3. Each successive term is determined by multiplying the previous term by One-third. For example, if we calculate f(1), we get f(1) = 60(One-third)^1 = 60(1/3) = 20. Then, if we calculate f(2), we get f(2) = 60(One-third)^2 = 60(1/9) = 20/3.
4. As we can see, each successive term is obtained by multiplying the previous term by One-third, resulting in a decreasing sequence of values.
Therefore, the graph of the function f(x) = 60(One-third)x starts with an initial value of 60 and decreases exponentially by multiplying each term by One-third.