b) f(x) = -4x³ – 6x² + 24x + 1 Use the first derivative test to determine the intervals where the function increases/decreases Determine the local min/max points of f (x) Use the second derivate test to determine the intervals of concavity • Sketch a possible graph of f(x)

Q: How to graph f(x)=x+3 for x<0

A:

Q: dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

A: Using the volume of cylinder and the solid is given as,

Q: Use point plotting to graph f (x) = x + 2 if x ≤ 1.

A: The given function is

Q: Assume u solves the initial value problem Utt - Au = 0 in R" × (0, 0), u = 0, u = h on R" x {t = 0}.…

A:

Q: The point (-807.3, 759.6) is on the graph of f(x). What point must be on f-(x)? Question Help: D…

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Q: 5. Consider the statement: "If a given relation, y = f(x), is a function, then its inverse, y…

A: A function is a relation between a set of inputs and a set of permissible outputs with the property…

Q: Using transformation draw the graph of the function f(x)=3* – 2 -

A: The given function is f(x)=3-x-2

Q: How can looking at the graph of a function help you tell where the function is continuous?

A: For the graph of function to be continuous, it needs to be smooth without any holes, jumps, or…

Q: How to graph f(x)=|x+1|

A: To draw the graph of the following function.

Q: how to graph the function f (x) (x-4)(x-3)²(x+4)² (x+2)(x+5)²(x-3)

A: Given f(x)=(x-4)(x-3)2(x+4)2(x+2)(x+5)2(x-3)

Q: We will sketch the graph of f(x) = x-2/x^2-4. Step 1: Find the domain of f What values of x make…

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Q: 3x ? x²-9 What is the domain and range of the function fx=

A: Given function is  f(x)=3x(x2-9) Which is not well defined at x=±3. Thus, Domain of f(x) is…

Q: Sketch the graph of:

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Q: Treat f(x) = g(x)h(x), where g(x)=2x^3+3, and h(x)=cos(x^2). The product rule combined with the…

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Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: Graph of F(x) passes through (5,1).Then through which point -f(x+3)-2 passes

A: Graph of f(x) passes through (5,1). let y = f(x) . then when x= 5 we get y=1. so, we get  f(5) = 1…

Q: Use the following graph of f(x) to sketch the graph of f(x-2)-3.

A: The graph of f(x) is given.

Q: Explain how to define the composition of two functions

A: Function composition is an operation that takes two functions f and g, and produces a function h=fog…

Q: Given the function fx) whose graph is shown below, determine 4-3). Do not include "f(-3)=" in your…

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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.