SOLUTION: Graph the function, not by plotting points, but by starting from the graphs in Figure 4. State the domain, range, and asymptote. f(x) = 1

SOLUTION: Graph the function, not by plotting points, but by starting from the graphs in Figure 4. State the domain, range, and asymptote. f(x) = 1 - 2^-x I used the graph of y=2^x, r

Question 47733This question is from textbook College Algebra
: Graph the function, not by plotting points, but by starting from the graphs in Figure 4. State the domain, range, and asymptote.
f(x) = 1 - 2^-x
I used the graph of y=2^x, reflected about the y-axis, then shift upward 1 unit. As usual, it doesn't look right, even if I turn it upside down.
Thank you Thank you Thank you! This question is from textbook College Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x) = 1 - 2^-x
----------------------------

You start with y=2^x which is an increasing exponential function.
----------------------------
You have two negatives to consider.
The -x reflects the curve in the y-axis so it looks like a
decreasing exponential function.
The - in front of the 2^-x reflects it in the x-axis.
The 1 moves it up one unit.
-------------------------------
Cheers,
Stan H.
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