Question

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

Answer 1

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)