F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The general form of an exponential function is
.... (1)
Where, a is initial value and b is growth or decay factor.
If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.
The given function is
.... (2)
From (1) and (2) it is clear that
The value of a is 6. It means the initial value or y-intercept of the function is 6.
The value of b is 0.4, which is less than 1. It means the function is a decreasing function.
Graph B represent a decreasing function with initial value 6. Therefore the correct option is B.
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Answer: a)
Step-by-step explanation:
Since we have given that
a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get
b) . Use composition to show that f(x) and g(x) are inverses of each other.
Similarly,
so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :
Next you have to take out the common factors and factorize it :