Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y = 3x - 4
I don't see an exponential equation.
check your typing
did you mean y = 3^x - 4 or perhaps y = 3^(x-4) ?
Please confirm.
y=(1/5)^x
The given equation is y = 3x - 4, which is a linear equation, not an exponential equation. Therefore, we won't evaluate the equation for positive and negative values of x or at x=0. Instead, we can proceed to plot the graph of this linear equation.
To plot the graph of a linear equation, we need at least two points. We will find the points by selecting arbitrary values of x and plugging them into the equation to calculate their corresponding y-values.
Let's choose three values for x: -2, 0, and 2.
For x = -2:
y = 3(-2) - 4
y = -6 - 4
y = -10
So, the first point is (-2, -10).
For x = 0:
y = 3(0) - 4
y = -4
The second point is (0, -4).
For x = 2:
y = 3(2) - 4
y = 6 - 4
y = 2
The third point is (2, 2).
Now, we can plot the graph using these three points:
(-2, -10), (0, -4), and (2, 2).
The equation of the line asymptotic to the graph is not applicable here since the given equation is a linear equation, not an exponential equation.