Answer:
y = 4
Step-by-step explanation:
The form of the exponential function is y = a
Use the given points to solve for a and b
Using (0, 4 ), then
4 = a (
= 1 ), thus a = 4
y = 4
Using (2, 196 ), then
196 = 4b² ( divide both sides by 4 )
49 = b² ( take the square root of both sides )
b = = 7
y = 4 ← exponential function
Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by
We know that the sum of 'n' consecutive natural numbers starting from 1 is
Thus from equation 'i' we can write
As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Matching each equation of the plecewise function represented in the graph will be:
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
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