Which graph represents the function f(x)=-x2+5?
2 answers:
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The given function is
.... (1)
We need to find the graph of the function.
The vertex form of the quadratic function is
.... (2)
On comparing (1) and (2) we get
It means the vertex of the function is (0,5).
The table of values is
x y
-2 1
-1 4
0 5
1 4
2 1
Plot all ordered pairs on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
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The explicit formula of the function d(n) is
The function is given as:
d(1) = 2.7
d(n) = d(n-1) x (6.1)
The above means that the function is an exponential function, and it has the following parameters:
First term, d(1) = 2.7
Common ratio, r = 6.1
The explicit formula of an exponential function is:
So, we have
Hence, the explicit formula of d(n) is
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