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Question

# Graph the function. State the domain and range.$g(x)=4e^{-3x}+1$

Solution

Verified
Step 1
1 of 4

The function $g(x) = 4e^{-3x}$ is in the form $y = ae^{rx}$ where in this case $a = 4$ and $r = -3$. Since $a$ is positive and $r$ is negative, the function is an exponential decay function. Plot the points (0, 4) and (1, 0.2) and draw the curve. Then translate up 1 unit to obtain the points (1, 4) and (2, 0.2) and draw the graph of the function $g(x) = 4e^{-3x} + 1$

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