For the function, consider the following. (Hint: Use a graphing calculator.) h(z) = 1/z+3;  find h(−4)   (a) Evaluate the given expression. h(−4) =  (b) Find the domain of the function. (Enter your answer using interval notation.)       (c) Find the range. (Enter your answer using interval notation.)

Q: Consider the function f(x) = x-2 x²-4

A: The given function is f(x)=x-2x2-4. To Examine: Continuity of f at -2 and 2.

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=6-xx

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (6 −…

A:

Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: What is f (-1) for the function given? f (x) = x2 - 3x + 8

A:

Q: When given the equation for a function, how can you determinewhere it is increasing and where it is…

A: The derivative of a function may be used to determine whether the function is increasing or…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: Q4: Find The Range of the Function. x2 – 1 y -1<x< 3 x2 + 1

A: The range of the function is, (0,4)   The detailed solution is as follows below:

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (x −…

A:

Q: What value of x makes the discontinuity of the function x² – 4 f(x) = removable? x2 — х-6

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given function: f(x)=xx+3

Q: For what value of x does the function f(x)=1/3 x^3 - 4x attain the point of inflection in the…

A: Inflection points are points where the function changes concavity, i.e. from being concave up to…

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the following:  Find first and second derivative:…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the function, fx=x-23x-1 To calculate the double derivatives of the given function,…

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=x+3x points follows f'(x)=0 is inflection point…

Q: How would you limit the domain to make this function one to one? f(x) = x² – 5 Your answer will be…

A:

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

A:

Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: Choose the correct answer. 2х-1 The domain of the function f (x) Vx-1+2 is

A:

Q: Find the domain and sketch the graph of the function. f(x) =2t+t2

A: Given: fx=2x+x2 we know that given function is a quadratic function whose constant term is zero we…

Q: Compare the properties of the graph of f(x)=-(2x+3)+4 to the base function f(x)=2x. 3.) Is there a…

A: Given the graphs and properties of the functions,  f(x) = 2x f(x) = -(2x + 3) + 4 To find the…

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: Which statement is true for the function f(x)= 1/x+4? Choose the correct.A  4 is not in the range of…

A: If x+4=0 then we will get 1/0 which is undefined.

Q: For what value of x does the function f(x) 4x attain the point of inflection in the interval [-5,3]?…

A:

Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: Compare the properties of the graph of f(x)=-(2x+3)+4 to the base function f(x)=2x 2.) Is there a…

A: The given functions are f(x)=-(2x+3)+4 and the base function f(x)=2x The x intercept of the function…

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: f) f(x) = 1-x2

A: fx=11-x2

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

A:

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: Given the functions - and g) -x-x determine the range of the combined function,

A: Domain : The set of value where function is defined. Range : The set of value of the function on…

Q: What is the domain of h(x) = e 3x + 1? %3D (Type your answer in interval notation.) What is the…

A: Domain : where function defined

Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

A:

Q: What is the domain of the function f(x) = x2-49? The domain is . (Type your answer in interval…

A: To find the domain of the function f(x)=x2−49.

Q: 12. What are the x-intercept(s) to the function f(x) = 3x+15x + 12?

A:

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: For sketching the function y = 3-e² 2e² determine the following

A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

Q: Q. 11 Find the inflection point for the function f (x) == - sx² + 2x

A:

Q: The function p (x) = x° + x* - x + x2 – x + 5 is graphed on the coordinate plane. As X approaches…

A: graph of the function is shown below

Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.

Q: Find the slope of the secant line between x = -3 and x = -1 on the graph of the function f(x) = 3x²…

A: Given function, fx=3x2-x+3We have to find the slope of the secant line x=-3 and x=-1 on the graph of…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.