Plot a graph of y = 4^x by first producing a table of values. Label the y-intercept and the equation of any asymptotes.
Just need help with producing the tables of values, thanks.
Choose x=0, then sub it into your equation to find what y=,
then
choose x=1, sub it into your y= and see what it is
choose x =2 and x=3 in this manner.
You will see a nice curve :)
thanks :>
To produce a table of values for the equation y = 4^x, you can choose different values of x and calculate the corresponding values of y.
Let's start by choosing a range of x-values. For simplicity, let's consider the range from x = -2 to x = 2. You can adjust this range based on your specific needs.
Now, plug in these x-values into the equation y = 4^x, and calculate the corresponding y-values:
When x = -2: y = 4^(-2) = 1/4^2 = 1/16
When x = -1: y = 4^(-1) = 1/4
When x = 0: y = 4^0 = 1
When x = 1: y = 4^1 = 4
When x = 2: y = 4^2 = 16
Now, you have a table of values:
x | y
--------------
-2 | 1/16
-1 | 1/4
0 | 1
1 | 4
2 | 16
To plot the graph, use the x-values as the horizontal axis and the corresponding y-values as the vertical axis. Mark the points with their respective coordinates (-2, 1/16), (-1, 1/4), (0, 1), (1, 4), and (2, 16).
For labeling the y-intercept, note that the y-intercept occurs when x = 0. In this case, the y-intercept is (0, 1).
The equation y = 4^x does not have any asymptotes since exponential functions like this do not have vertical or horizontal asymptotes.
By following these steps, you can produce a table of values and plot a graph of the equation y = 4^x.