Question

PLEASEEE HELLPPP TIMED
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval
A The exponential function decays at one-half the rate of the quadratic function.
B The exponential function decays at the same rate as the quadratic function.
C The exponential function decays at two-thirds the rate of the quadratic function.
D The exponential function decays at three-fourths the rate of the quadratic function.

Answer 1

The quadratic function decays by 4 units in the interval.
The exponential function decays by 3 units in the interval.

Thus,
D The exponential function decays at three-fourths the rate of the quadratic function.

Answer 2

Answer:

Option: D is the correct answer.

D. The exponential function decays at three-fourths the rate of the quadratic function.

Step-by-step explanation:

The graph of exponential function passes through (-2,4) and (0,1).

The rate of decay is given by:

$\text{Rate\ of\ decay}=|\dfrac{1-4}{0-(-2)}|\\\\\\\text{Rate\ of\ decay}=|\dfrac{-3}{2}|\\\\\\\text{Rate\ of\ decay}=\dfrac{3}{2}$

and the graph of quadratic function passes through (-2,4) and (0,0).

The rate of decay is given by:

$\text{Rate\ of\ decay}=|\dfrac{0-4}{0-(-2)}|\\\\\\\text{Rate\ of\ decay}=|\dfrac{-4}{2}|\\\\\\\text{Rate\ of\ decay}=2$

Hence, the rate of decay of exponential function decays at three-fourths the rate of the quadratic function.

(   since,

$2\times \dfrac{3}{4}=\dfrac{3}{2}$

i.e.

rate of decay of quadratic function×(3/4)=Rate of decay of exponential function )