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.

Option C is correct.

The exponential grows at twice the rate of the quadratic.

Step-by-step explanation:

Slope(rate) is given by:

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;

⇒Rate of exponential function is 2

In Quadratic function graph:

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

then by definition  of slope we have;

⇒Rate of quadratic function is 1

⇒

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

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

Step-by-step explanation:

Got 100% on edge.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.