The quotient of 7 and d decreased by 9
1 answer:
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Answer:
A - Not Function
B - Function
C - Function
D - Not Function
E - Function
Step-by-step explanation:
For a relation to be a function, each value of input should have exactly one output. Which means that for one value of x, there should only one value of y. If the relation has repetition of x in its ordered pairs, it means that for one value of x, there are two or more values of y, hence the relation is not a function
(Consult the diagram below)
<h3>A - {(6,12),(3,1),(−1,13),(6,4)} </h3>As x = 6 is being repeat, it means that x=6 has two values of y that are 12 and 4. IT IS NOT A FUNCTION.
<h3>B - {(−1,−2),(−4,−4),(0,−5),(7,−5)} </h3>No repetition of x, IT IS A FUNCTION.
<h3 /><h3>C - {(−5,1),(4,10),(5,10),(6,7)} </h3>No repetition of x, IT IS A FUNCTION.
<h3 /><h3>D - {(−1,4),(1,6),(−1,−2),(0,7)} </h3>As x = -1 is being repeat, it means that x=-1 has two values of y that are 4 and -2. IT IS NOT A FUNCTION.
<h3>E - {(−2,8),(2,1),(−4,8),(7,9)}</h3>No repetition of x, IT IS A FUNCTION.
<h2>Answer:</h2>
The correct options are:
- The domain is all real numbers.
- The base must be less than 1 and greater than 0.
- The function has a constant multiplicative rate of change.
We know that the exponential function is given by:
where a>0 and b are constants.
Also, it represents a growth function if b>1
and a decay function if 0<b<1
where b is the base.
- x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.
Hence, the domain of the function is all the real numbers )
- Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.
- The exponential decay function always have a constant multiplicative rate of change i.e. b.