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10.03.2020 •
Mathematics
Consider the function f(x) = 3x and the function g, which is shown below.
g(x)=f(x)-2=3^x-2
How will the graph of g differ from the graph of f?
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Ответ:
B. The graph of g is the graph of f shifted 2 units down
Step-by-step explanation:
Graph of Functions
We have two functions:
f(x)=3^x
g(x)=3^x-2
Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points
f(0)=3^0=1
g(0)=3^0-2=-1
f(1)=3^1=3
g(1)=3^1-2=1
f(3)=3^3=27
g(3)=3^3-2=25
We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is
B. The graph of g is the graph of f shifted 2 units down
Ответ: