To check the decay rate, we need to check the variation in y-axis.
Since our interval is
To compare the decay rates we need to check the variation on the y-axis of both functions.
Now, we calculate their ratio to find how they compare:
This tell us that the exponential function decays at three-fourths the rate of the quadratic function.
And this is the fourth option.
Answer:
5
Step-by-step explanation:
Answer:
6.5in
Step-by-step explanation:
find the area of the shaded regions
fine the surface area of the square
A = 2×2
A = 4
find the area of the triangle
A = 1/2bh
A = 1/2×2×2.5
A = 2.5
add the areas
2.5+4 = 6.5
Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have
g(x) = k • f(x) = kx² = (√k x)²
The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means
g(1) = (√k • 1)² = 4
and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.