SOLUTION: 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. State t

Question 283757: 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. State the equation of the line asymptotic to the graph (if any).
y = 3^x - 4

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
For the first part, just get out your calculator and use it to evaluate the equation for the various values of x. (To raise a number like 3 to a power, use the button the looks like "^" or "".)

For the asymptote, exponential equations will have a horizontal asymptote. This is true because it is impossible to raise a positive number to any power and get either zero or a negative number!

If your equation is
then the y value is a power of 3 and, as such, it can never be zero or negative. So y = 0 will be a horizontal asymptote.

If your equation is
then y is 4 less than a power of 3. Since the power of 3 cannot be zero or negative, then, after we subtract 4 from the power of 3, y cannot be -4 or any number less than -4. So y = -4 is a horizontal asymptote.
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