Answered: If the original function defined by…

Name: If the original function defined by y=4^x, how would it change if y=2
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: If the original function defined by y=4^x, how would it change if y=2 times 4 ^(x-3) +1 were graphed instead ?

Math

Algebra

If the original function defined by y=4^x, how would it change if y=2 times 4 ^(x-3) +1 were graphed instead ?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.5: Linear Functions And Models

Problem 5E

See similar textbooks

Related questions

Q: For square root functions sho

A: Given, f(x)=--(x+4)

Q: It has been observed that a particular plant's growth is directly proportional to time. When we last…

Q: Suppose that a friend of yours does not understand the idea of increasing and decreasing…

A: Increasing Functions A function is "increasing" when the y-value increases as the x-value increases,…

Q: A newspaper headline states that “The rate of growth of the national deficit is decreasing.” What…

Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of 1 gallon of unleaded gasoline is decreasing 4 cents per month starting from…

Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

A: Let the population of Iraq at time t is: y(t) Therefore: dydtα y

Q: Write the equation for this graph: 5 |(4, 3) |(3, 1) -5 0(2, 0.333) 5 10 -5- -10 f (x) = (x+

A: Consider the graph

Q: If the monthly consumption of water is less the 2800 gallons then $9.48 is charged and if 2801-5500…

A: Given: Amount charged if the monthly consumption of water is less than 2800 gallons = $9.48 Amount…

Q: How to solve functions on a graph?

A: 1st draw a graph.

Q: 3. Suppose the current US population of approximately 350 million people increases by 1.8% every 2…

Q: above the ground of the concrete block after s seconds?

A: we have to write a function representing the given statement to determine height h in feet after s…

Q: The median selling price of an existing home in the United States increasing continuously over the…

Q: In your own words, describe what it means for a function to be continuous at a point.

Q: I can’t understand how to find a equation for the function even with the plotted point?

Q: A helicopter is hovering at an altitude of 1,450 feet above sea level. It descends at a constant…

Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

Q: According to the National Center for Health Statistics, in 1990, 28% of babies in the United States…

Q: Did your image left or right from the parent function?

A: Given graph is

Q: Graph the derivative of the function graphed on the right.

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

Q: When is a function said to have the Intermediate Value Property?

A: Let f(x) be any function which is continuous and defined in the interval [a, b].

Q: In your own words explain how to form the composition of two functions.

A: Query- In your own words explain how to form the composition of two functions. Answer- Camposition…

Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: How can we write a formula for this function?

A: The given function is a pair of two lines which are joined continuously. We will find the formula of…

Q: In your own words, explain the Intermediate Value Theorem

A: we have to define the intermediate value theorem.

Q: sketch the graphof the function.y = 4x

A: Given: The function, y=4x.

Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

Q: In your own words, state the guidelines for implicit differentiation.

A: We have to state the guidelines for implicit differentiation.

Q: y= 3x³etan ( – 4x)

A: Topic:- derivatives

Q: Choose the graph that shows functions that are inverses of each other. How do you know?

A: A linear characteristic is a characteristic that represents a instantly line at the coordinate…

Q: function

A: We are given some figures and some options above . We have to match them correctly.

Q: What is the rate of change of the function whose graph is a line passing through (3, 5) and (−1,…

Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

Q: Find the derivative

A: Given function - y = 10x5-2x3+4x-9x-10y = 10x5-2x-3+4x-9x12-10x0Using differentiation formula -…

Q: In your own words, describe how to recognize when to use the Product Rule, when to use the Chain…

A: Product rule of differentiation can be applied when the product two given functions f(x) and g(x)…

Q: . Write the equation of a function if its rate of changeis -15 and its initial value is 12.

A: Given:- Initial value of a function = −15 Rate of change of function = 12 To find equation.

Q: Please provide an example of real life computation and application of derivatives

A: Follow the steps.

Q: Suppose you are looking at a graph ofvelocity as a function of time. How can you estimate…

A: Consider the graph of the velocity function with time. Estimating the acceleration at a given…

Q: If electricity is charged every 60 days by Kwh where the first 400 units are charged at a rate of…

Q: What are some things that nonlinear functions don’t have?

Q: In a certain rectangle, the length of one side is always two inches more than four times the length…

A: Given query is to find the rate of change area.

Q: There were around 70,000 black rhinos in the world in 1970. After that, their population declined by…

Q: If a city's population is 1.3 million now and will grow at a continuous rate of 4.5% in the future,…

A: from 2020 to 2030 there is 10 year In each year population is increasing by 4.5 %

Q: The graph of which function starts at (0,0)?

A: The graph of the function, y = √x starts at (0,0)

Q: The value of a brand new car is $10,000 and the value depreciates 19% every year. Write a function…

Q: Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. a) Based on…

A: Linear model y=mx+b where b is initial value ( y intercept ) = length at birth = 22 inches :…

Q: yA

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.

Q: A rectangular plot of land will be fenced into three equal portions by two dividing fences parallel…

Topic Video

Question

If the original function defined by y=4^x, how would it change if y=2 times 4 ^(x-3) +1 were graphed instead ?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Rules of Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.
If xis large, which function grows faster, f(x)=2x or g(x)=x2?
I need help solving this problem that deals with functions.
If we have to integrate a function, what is the first thing come into our mind?
A calculus professor introduced the derivative by saying that it could be summed up in one word: slope. Explain what this means.
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this percentage increased by approximately 0.6 per year. a. Express the percentage of babies born out of wedlock, P, as a function of the number of years after 1990, x. b. If this trend continued, in which year were 40% of babies born out of wedlock?
The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and continued to fall at the rate of 4 cents per month for the next 9 months. Express the price of 1 gallon of unleaded gasoline as a function of time for the period starting January 1, 2015. What was the price of 15 gallons of gasoline on April 1, 2015? On September 1, 2015?
The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?
A crane is lowering a concrete block from a height of 270 feet above the ground at a constant rate of 2.5 feet per second. Which function can be used to determine h, the height in feet, above the ground of the concrete block after s seconds?
How can two functions be found from this problem?
Approximation for the cost of living index can be made in real time ?
How do I solve these functions?