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)