What is the graph of the function?
Y=2*2^x
use desmos
What is desmos?
DO you mean decimals?
Nevermind, I get it.
desmos is a graphing website/app
If you know how to graph 2^x, then 2*2^x is just twice as high
Or, since 2*2^x = 2^2 * 2^x = 2^(x+1)
it is just the graph of 2^x, shifted left by one unit.
multiplying exponentials is just the same as shifting them right or left.
To understand the graph of the function, it's helpful to know that the expression 2^x represents an exponential function where the base is 2. This means that for each value of x, the function calculates 2 raised to the power of x.
To graph the function y = 2 * 2^x, you can start by making a table of values. Choose a few values for x, calculate the corresponding y values using the function, and then plot those points on a graph.
Let's choose a range of x values, say -3, -2, -1, 0, 1, and 2. Substitute these values into the equation y = 2 * 2^x to find the corresponding y values:
For x = -3, y = 2 * 2^(-3) = 2 * (1/8) = 1/4
For x = -2, y = 2 * 2^(-2) = 2 * (1/4) = 1/2
For x = -1, y = 2 * 2^(-1) = 2 * (1/2) = 1
For x = 0, y = 2 * 2^(0) = 2 * 1 = 2
For x = 1, y = 2 * 2^(1) = 2 * 2 = 4
For x = 2, y = 2 * 2^(2) = 2 * 4 = 8
Now we can plot these points on a graph:
(x, y) = (-3, 1/4)
(x, y) = (-2, 1/2)
(x, y) = (-1, 1)
(x, y) = (0, 2)
(x, y) = (1, 4)
(x, y) = (2, 8)
Connect these points smoothly, and you will see an exponential curve rising from left to right. The graph will approach but never touch the x-axis as x approaches negative infinity, and it will increase rapidly as x gets larger.