Exponential functions exhibit exponential growth (or decay). What does this mean to the graphs of these functions? a.. the graph will rise or fall more dramatically than a polynomial graph. c.. the graphs represent the population of bacteria in your mouth. b.. the graph is three dimensional. d.. the exponent in the equation is less than one

Answers

Answer 1
Answer:

Answer:

The correct option is:

Option: a

a. the graph will rise or fall more dramatically than a polynomial graph.

Step-by-step explanation:

The most basic exponential function is a function of the form  

y=b^x

where   b  is a positive number.

When   b>1

the function grows in a manner that is proportional to its original value. This is called exponential growth.

When  0>b>1

the function decays in a manner that is proportional to its original value. This is called exponential decay.

The graph of a exponential function increases or decreases rapidly as compared to a graph of a polynomial function.

Hence, option a is the correct answer.


Related Questions

What is the x-intercept of the line with the equation 4x + 2y = 12?A. (0, 6) B. (6, 0) C. (0, 3) D. (3, 0)
The sum of three consecutive even numbers is 450. What is the 3rd number?​
Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?
Rewrite the equation so that it does not have fractions 2/3x-4=5/6
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?A.–12 B.–1 C.5 D.7

Kelly enlarged the area of a photograph to 250% of its original size. The original dimensions of the photograph were 5 inches by 7 inches. What is the area of the enlarged photograph, in square inches? A) 71.25 B) 87.5 C) 218.75 D) 3,000

Answers

The area of the enlarged photograph is 87.5 square inches.

What is the area of the enlarged photograph?

The first step is to determine the area of the photograph before it was enlarged. A photograph has the shape of a rectangle. So, the formula for the area of a rectangle would be used.

Area = length x width = 7 x 5 = 35

Area of the enlarged photograph = 2.5 x 35 = 87.5

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

Answer:

answer is B) 87.5 squared inches.

Step-by-step explanation:

The original dimensions of the photograph were 5 inches by 7 inches so, the area of the original photograph can be computed as the area of a rectangle:

Area=(heigh)(base).

So

Area=(5)(7)

Area=35squared inches.

Now, for computing the area of a photograph of 250% the size of the original we use a simple rule of three:

35 squared inches --------  100%

X squared inches  --------- 250%

By this, we have:

X = ((35)(250))/(100)

X = 2.5*35

X = 87.5

There are 4 aces and 4 kings in a standard deck of 52 cards. You pick onecard at random. What is the probability of selecting an ace or a king. Explain your reasoning.

Answers

The odds of picking a single card out of 52 is:
1/52

The odds of picking an Ace is:

4/52 (since there are 4 aces in a single deck)

The odds of picking an ace or a king is:

8/52 (since there are 4 aces and 4 kings in a single deck, 4+4=8_

8/52 can be simplified to 2/13 

Answer=2/13

Evaluate the function below for x=2.   F(x)=2x^3-x^2-5x+6

Answers

Answer:

A Function states an equation that has only one answer for y for every x. Also, a function assigns exactly one output to each input of a specified type.

i,e y= f(x) where x represents the input variable and y represents the output value.

Given the function: F(x) = 2x^3-x^2-5x+6

Substitute the given input value of x =2 , we get;

F(2) = 2(2)^3-(2)^2-5(2)+6

F(2) = 2(8)-4-10+6

or

F(2) = 16-4-10+6

Simplify:

F(2) = 8

Therefore, the function F(x)=2x^3-x^2-5x+6 for x=2, we have F(2) =8.

f(x)=2x^3-x^2-5x+6 \ \ \ \boxed{x=2}\n \n f(2)=2*2^3-2^2-5*2+6\n \n f(2)=16-4-10+6\n \n f(2)=8

Write 0.0003532 in scientific notation.a. 3.532 × 105
b. 3.532 × 10 4
c. 3.532 × 104
d. 3.532 × 10 5

Answers

Answer:

b. 3.532×10^-4

Step-by-step explanation:

If you have: 0,0003532

you have to put the comma 4 positions to the right in order to get the number "3,532"

Then you can to express the number in scientific notation like 3.532×10^-4

which means that to return to the original number you must run the comma 4 positions to the left.

The answer should be 
B. 3.532 x 10 -4

Evaluate the 6 trigonometric functions of theta for 540 degrees

Answers

540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.

What is the slope of the line y = 2x + 1 ?

Answers

y = 2x + 1

The slope of the line y is 2.

In the formula: y = mx + b

m is the slope while b is the y-intercept. Since 2 is the number that is in the place of m, it is the slope of the line while 1 is the y-intercept.
y=mx+b

M is the slope, and B is the Y-intercept.

y=2x+b

In this case, 2 is m.

The slope is 2/1, or 2.

I hope I helped! :)