Question

(Graph Exponential Functions)
Complete the table for the function y=9x.
x y
–
1
0
1
2
Now, graph the function.
Plot two points to graph the function.

Answer 1

The function is y = 9^x.

Completed table:
- x = −1 → y = 9^(−1) = 1/9
- x = 0 → y = 9^0 = 1
- x = 1 → y = 9^1 = 9
- x = 2 → y = 9^2 = 81

So the table:
x: −1, 0, 1, 2
y: 1/9, 1, 9, 81

To graph: plot two easy points, for example (0, 1) and (1, 9). Then draw a smooth curve through the other points; the curve rises rapidly to the right and approaches y = 0 (the x-axis) as x → −∞.