Which graph represents an exponential function?
2 answers:
Answer:
The graph attached represents an exponential function.
Step-by-step explanation:
An exponential function is represented by a hyperbola which shows some proportionality on the numbers.
The common thing about exponential functions is that they reach infinity.
One example of an exponential function is the graph of
The graph is a hyperbolic curve that continues without a definite value.
Another example of such a graph is the graph of :
As the value of y increases, the graph reaches closer and closer to the x- axis but takes forever to reach such a value of intersection.
We say such graphs reach infinity with the y-value.
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For a better understanding of the explanation provided here kindly go through the file attached.
Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.
Now, we know that the total angle in radians covered by a cosine in a given period is and the period given in the question is t=3 seconds. Therefore, the angular velocity,
of the mentioned system will be:
Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:
Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.
