I have to draw the graph of y=2^x over the interval -1¡Üx¡Ü3.
I don't know what they mean by over the interval..
I cant read your interval, but it means graph it for x values in the interval, it appears that it is from -1 to 3.
how can I graph -1 ¡Ü x ¡Ü 3?
When they say "over the interval," it means that you need to draw the graph only for x-values that lie within the given interval. In this case, the interval is -1 ≤ x ≤ 3, which means you should only consider x-values between -1 and 3, including both endpoints.
To draw the graph of y = 2^x, you can follow these steps:
1. Start by making a coordinate plane (x-y axis) on a sheet of graph paper or using a graphing tool.
2. Plot the points on the graph where x = -1, 0, 1, 2, and 3. These values are within the given interval, so they should be considered.
3. To find the corresponding y-values, substitute each x-value into the equation y = 2^x to calculate y. For example, when x = -1, y = 2^(-1) = 1/2.
4. Plot the calculated (x, y) values from step 3 on the coordinate plane.
5. Connect the plotted points smoothly to create the graph of y = 2^x. Since it is an exponential function with a base of 2, the graph will start near the point (-1, 1/2) and increase rapidly as x increases.
Remember that this graph is only valid within the specified interval (-1 ≤ x ≤ 3).