What does it mean for a function to be defined implicitly by an equation?

Q: Express the gross salary G of a person who earns $14 per hour as a function of the number x of hours…

A: Given: Earning per hour = $14       To determine: Gross salary as a function of the number of…

Q: Plot five points on the graph of the function f(x)=(1/2)^x

A: f(x) = (0.5)x Because 1/2=0.5

Q: What is the common way to obtain a new function from an existing one?

A:

Q: What is meant by Constant function in reference to algebra?

A: If the value of a function if constant for all values of x, then it is called a constant function.…

Q: when both the dependent and independent values of a function increase, it is said to be ?

A:

Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: A 1 lb sponge initially contains 5 lb of water. As it is lifted up from the ground, the sponge loses…

A: Answer is option d here decrement in water is linearly (as constant rate)

Q: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

Q: When functions are defined by more than one equation,they are called________ functions.

A: When functions are defined by more than one equation,they are called________ functions.

Q: How does  a function behave near a particular point at which we cannotdirectly evaluate the…

A: To understand the concept we will consider an example

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

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: What can you conclude about the inverses of functions whose graphs are lines perpendicular to the…

A: If a graph of a function is perpendicular to the line y=x, then the reflection of the line on y=x…

Q: It costs $3 per hour to park in a parking lot, with a maximum cost of $12. Explain why the amount of…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: What must be done to a function’s equation so that its graphis reflected about the y-axis? Explain.

A:

Q: How can the functions be multiplied by constants?

A: Multiplication of the function by a constant can be done by multiplying the output of the function…

Q: This describe the value of a function as approaches to some value?

A: Since we know that limit of a function f(x) as x approach c, f(x) approaches x as approaches c.

Q: Which of the following is not a function in implicit form?

A: A function is in implicit form when f(x,y)=0 and explicit function is y=f(x).

Q: what should my equation be?

A: Here in this table you wrote the values of functions from x=1 to x=9   For x=1, f(x)=3 For x=2,…

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

A:

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

Q: What does it mean for a function to have the Intermediate Value Property? What conditions guarantee…

A:

Q: When functions are defined by more than one equation,they are called ___________________ functions.

A: When functions are defined by more than one equation, they are called ___________________ functions.

Q: How do i solve problems involving Function Notation and Graphing Nonlinear Functions?

A: To discuss the steps for graphing general functions.

Q: What does it mean to plot A as a function of B. What will be on the y-axis and x-axis and why?

A:

Q: Can every curve in the coordinate plane be the graph of a function? Why?

A: Question- Can every curve in the coordinate plane be the graph of a function ? why? Answer- A…

Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: How would I find a function that models this?

A: From the given table , it is observed that the given table can represents a linear function.

Q: What do the Algebraic functions include?

A: An algebraic function include variables, constants and algebraic operations (such as addition,…

Q: If I reverse a function’s components, will this new relation be a function?

A: Suppose a function f(x)=3x+5 with the input of x and gives the result y.

Q: How can the One-to-One Functions Graphically be identified?

A: If a function has no two ordered pairs with different first coordinates and the same second…

Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: What are the Algebraic Functions?

A: algebraic function

Q: When is the function said to be real-valued?

A: The function is said to be a real valued function if it assigns a real number for each input value…

Q: linear functions or not?

A: Given,           A table is shown below :

Q: How can we Represent a Function Numerically?

A: A function f from a set A to a set B is a rule that associates every member of set A a unique member…

Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

A:

Q: Is it possible for two different level curves of a function to intersect?Explain.

A: Query- Is it possible for two different level curves of a function to intersect and explain. Answer-…

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

Q: Please

A:

Q: Define the term One-to-One Functions?

A: Definition of One-to-One functions:

Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

A:

Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: What is the Horizontal Line Test for One-to-One Functions?

A: we have to define the horizontal line test for One-to-One Functions.

Q: What is the relationship between the graph of a function and the graphof its inverse?

A: Consider the function fx and inverse of f(x) is represented by f-1x.

Q: What must be done to a function’s equation so that its graph is shifted horizontally to the right?

A: If c is positive,y=fx+c shifts the graph of f to the left c units and y=fx-c shifts the graph of f…