Which of the following terms best describes the graph of the exponential function given below? F(x)=9*((1)/(7))^(x)
2 answers:
Answer:
B. Decreasing
Step-by-step explanation:
We have been given formula of a function . We are supposed to determine the type of our given function.
We know that an exponential function is in form , where,
a = Initial value,
b = If , then the function is growth function. If
, then the function is decay function.
Upon looking at our given function we can see it is in form of exponential function.
Upon comparing our given function with standard exponential function, we can see that the value of a is 9 and value of b is .
Since , therefore, our function is decreasing and option B is the correct choice.
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Answer:
Step-by-step explanation:
We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.
Lets start by plugging in -1.
(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).
Now lets plug in 0.
(0)^2-2(0)+3= 3 (0,3)
For plugging in 1
(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)
And lastly lets plug in 2
(2)^2-2(2)+3=3 (2,3)
Depending on how many points are needed, keep plugging in numbers like we did above.
Answer:
h = 61.25 m
Step-by-step explanation:
It is given that,
The initial velocity of the ball, v = 60 m/s
It is thrown from a height of 5 feet,
We need to find the maximum height it reaches. The height reached by the projectile as a function of time t is given by :
Putting all the values,
.....(1)
For maximum height, put
Put t = 1.875 in equation (1)
So, the maximum height reached by the ball is 61.25 m.