Question

PLEASEE HELPP TIMED
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval
A The exponential grows at half the rate of the quadratic.
B The exponential grows at the same rate as the quadratic.
C The exponential grows at twice the rate of the quadratic.
D The exponential grows at four times the rate of the quadratic.

Answer 1

Answer:

Option C is correct.

The exponential grows at twice the rate of the quadratic.

Step-by-step explanation:

Slope(rate) is given by:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

As per the statement:

An exponential function and a quadratic function are graphed below.

In the given interval: [0, 1]

In Exponential function  graph

Consider points (0, 1) and (1, 2)

then by definition  of slope we have;

$\text{Slope} = \frac{2-0}{1-0} = \frac{2}{1} = 2$

⇒Rate of exponential function is 2

In Quadratic function graph:

Consider points (0, 0) and (1, 1)

then by definition  of slope we have;

$\text{Slope} = \frac{1-0}{1-0} = \frac{1}{1} = 1$

⇒Rate of quadratic function is 1

⇒$\text{Rate of exponential function} = 2 \cdot \text{rate of quadratic fucntion}$

Therefore, the exponential grows at twice the rate of the quadratic.

Answer 2

Answer:

The answer is B. The exponential grows at the same rate as the quadratic.

Step-by-step explanation:

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