Use the graph of each polynomial function to find the factored form of the related polynomial. Assume the polynomial has no cons
tant factor.
What are the zeros of this function? (2 points) _______, _______
What is the factorization of the polynomial? (2 points)
What are the zeros of this function? (2 points) _______, _______
What is the factorization of the polynomial? (2 points)
1 answer:
You might be interested in
Answer:
The equation for the curve is:
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
Replacing that in the second equation, we get:
From that equation, we can conclude that k = 2
Then:
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
Then we can conclude that the equation for the curve is: