5. Exponential Functions
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To graph the given exponential function, we will first make a table of values.
x | 2^x | y=2^x |
---|---|---|
- 1 | 2^(- 1) | 0.5 |
0 | 2^0 | 1 |
1 | 2^1 | 2 |
2 | 2^2 | 4 |
Let's now plot and connect the points ( - 1, 0.5), ( 0, 1), ( 1, 2), and ( 2, 4) with a smooth curve.
We can see in the graph that the range is all real numbers greater than zero. The domain of exponential functions is all real numbers. The y-intercept is the y-coordinate of the point at which the graph intersects the y-axis. We can see in the graph that its value is 1. Domain:& All real numbers Range:& y>0 y-intercept:& 1