Here is an interesting exponential function, y=1^x. Complete the table with integer values of x from 0 to 4. Then graph the function. y=1^x X Y 0 1 2 3 4 Does the graph show exponential growth, exponential decay, or neither? Explain your thinking
We have the following function: f (x) = 1 ^ x We will evaluate this function in the following interval: [0, 4] We have then: f (0) = 1 ^ 0 = 1 f (1) = 1 ^ 1 = 1 f (2) = 1 ^ 2 = 1 f (3) = 1 ^ 3 = 1 f (4) = 1 ^ 4 = 1
The table is then: x y 0 1 1 1 2 1 3 1 4 1 The behavior of the function is constant for any value of x. Answer: The graph show neither (exponential growth, exponential decay)