Answer:
The first option is correct.
Step-by-step explanation:
The given function is
.... (1)
The general exponential function is
.... (2)
Where, a is initial value and b is the growth factor.
If b>1, then it is a growth function and its graph is an increasing curve.
If b<1, then it is a decay function and its graph is a decreasing curve.
On comparing (1) and (2) we get,
So, f(x) is a decreasing function.
Since f(x) is decreasing function, therefore the graph of the function decreases as the value of x increases. Option 1 is correct.
Answer:
Step-by-step explanation:
Given the expression , we are to find the value of with powers of 10.
From the equation:
cross multiply
divide both sides by 7.208
express x in powers of 10
Similarly given the equation
From the equation:
cross multiply
divide both sides by 7.208
express x in powers of 10
For the equation
From the equation:
cross multiply
divide both sides by 7.208
express x in powers of 10
Answer:
The graph of given function is shown below.
Step-by-step explanation:
The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.
The given function is
.... (1)
The vertex from of an absolute function is
.... (2)
where, a is a constant and (h,k) is vertex of the function.
From (1) and (2) we get
The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.
The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.
The graph of given function is shown below.
