The equation y = 200(1.06)X models an exponential function. Determine if the
1 answer:
Given:
The given function is
To find whether the function is growth or decay and the growth of decay.
Formula:
The function is said to be an exponential growth, if the value of a > 0 and r > 0
Again, the function is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.
Now,
Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.
Therefore,
The given function is an exponential growth function.
You might be interested in
Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:
Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.