Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Use the domain {-1, 0, 1, 2, 3} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis while the vertical red line represents the y-axis.

y = 2x

Answer 1

Plot the following points on the graph

`(-1, (1)/(2))`, (0, 1), (1, 2), (2, 4), (3, 8)

Explanation:

If the equation for the line is y =
`2^(x)`, whatever the power/exponent "x" equals, then y is equal to however many times 2 is multiplied by x.

For example, if our domain is {-1, 0, 1 , 2, 3}

then we would plug in each x value into the exponent to find the y-value in order to plot the points to solve the problem.

If x = -1, then y = 1/2. **If there is an a negative exponent it would get turned into a positive fraction with the denominator as the positive version of that number.

`y = 2^(-1) = (1)/(2^(1) ) = (1)/(2)`

If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

If x = 1, then y = 2.

If x = 2, then y = 4

If x = 3, then y = 8

So you would plot the following coordinates on the graph:

`(-1, (1)/(2))`

(0, 1)

(1, 2)

(2, 4)

(3, 8)