The graph below could be the graph of which exponential function?
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The general form of an exponential function is
Where, a is the initial value of the function and b is the growth factor.
If b>1, then f(x) is an increasing function and if b<1, then f(x) is an decreasing function
From the given graph it is noticed that the initial value of the function is 2. It means the value of a is 2.
The graph shows that the function is a decreasing function, therefore the value of b must be less than 1.
It means the required function is in the form of
Where, b<1.
In option B, b=0.5<1, therefore option B is correct.
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Answer:
-15
Step-by-step explanation:
Given is a polynomial in x
We have to find the remainder when the above polynomial is divided by x+5
Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R
Applying the above theorem we can say that value of the function when x =-5
= Remainder when f is divided by x+5
= F(-5)
Substitute the value of -5 in place of x
= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70
= 625-1500+750+60+70
= 5
Hence answer is 5