A) [-1,3] B) [-3,4] C) [-1,4] D) L-3,3)

Q: 8х + 7 State the domain of the function f(x) = in interval notation. 9х + 2

A: A detailed solution is given below

Q: (-1,2) (1,1) (0,0)

A: Equation of line passing through two points: (x1, y1) and (x2, y2) (y - y1) = y2-y1(x2-x1)(x-x1)

Q: Express the set of numbers x satisfying the given condition as an interval. |x| < 4

A:

Q: Suppose that f is a differentiable function satisfying the equation f(x)f(f(x))=x What is f′(1)given…

A: The given data are: f1=2f'2=3  The given equation is: fxffx=x    Differentiate both sides of the…

Q: What are the domain, range, and period of the function f(0) = - 2cos(-÷0) +1, Explain how you…

A:

Q: The shaded set of numbers shown on the x-axis can be expressed in interval notation as________ .…

A:

Q: What is the range of the function f(x) = 3x + 2 %3D when the domain is {-2,-1, 2}? O a {-8, –5,8) O…

A: Given,                   f(x) = 3x + 2 And domain is     {-2, -1, 2}

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: Describe the domain and range of the function. f(x, y) = 4x2 - y Domain: o {x, y): x 2 0, y 20

A: we have to domain and range

Q: If equations for f and g are given, explain how to find f - g.

A: If equations for f and g are given, explain how to find f - g.

Q: (1 point) If f(x) = 16, then f' (6) = . help (formulas)

A: Solve for f'(6)

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: The function Ax) = x- 3 increases on which interval? %3D

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |x| ≤ 9

A: Given: x≤9 Formula Used: z≤a, a&gt;0 then -a≤z≤a

Q: What are the domain and range of In x?

A: Given y = ln x To find the domain and range Domain is found by finding where the expression is…

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

A:

Q: Q3/State whether this function is continous or not for all values o reason without proof. sino,

A:

Q: Describe the situation in which the distance that point x is from 10 is at least 15 units. Express…

A: Distance of x from 10 = Now, distance of point x from 10 is at least 15 units. So,

Q: What are the points of inter section of y = 8 and f(x)

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Q: Determine the interval on which the functưon is decreasing 20 10 5.

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Q: I need to let the function f be defined by the equation y=f(x), where x and f(x) are real numbers. I…

A:

Q: 4. Check whether the Mean Value Theorem can be applied to the function f(x) = 4x2 – 8x + 4 defined…

A:

Q: Use the table to evaluate f(-1). x------ -3,-2,-1,0,1,2,3 y=f(x)--- 3,-3,2,1,-2,0,-3

A:

Q: Find the range of f(x) = 2-√2-x along with explanations!

A:

Q: Give a rule of the piece wise define funsten give the domain and the range

A: Definition:A piecewise defined function is a function defined by at least two equations ("pieces"),…

Q: f(X)こ 34ーオー2

A: The given function is fx=3x-x-2To find the point when x=2

Q: How can I shorten this f(a+h)-f(a) / h. And give me some examples and explain

A:

Q: For which values of x is the function f(x)=x+|x+5| differentiable? Use interval notation, the…

A:

Q: Help with this problem?

A: The given function is f(x) = 5 + 7xTo find the value of x for which |f(x)| = 5.

Q: Describe the situation in which the distance that point x is from 18 is at least 13 units. Express…

A:

Q: Use Intermediate Value Theorem to check whether f(x) x- 2x -1 has at least one zero between x= -1…

A:

Q: what value of x is f(x)=6 f={(2,5), (6,5), (3,4), (-1,6)}

A: fx=6 &amp; f=2, 5, 6, 5, 3, 4, -1, 6

Q: Over which interval of the domain is function m negative? 10 8- 6- 2- -10 -8-6 -4 -2 4 6 8 10 -2-…

A:

Q: what will the point (0,0) be mapped to when graphing the function f(x)=2sin(x-60)-5

A:

Q: Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or…

A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

Q: Give the domain of the function in set notation:

A:

Q: Relation a and relation b below which must be true?

A: Given data: The given graph of the curves. A function is a relation that gives the single value of y…

Q: List all extreme points of f.

A: Extreme points are those points where function takes it's extreme values, that are the maximum and…

Q: domain and range of f(x,y)

A: Given: f(x,y)=9-x2+y2 -42 To find: Domain and range.

Q: Find the intervals where the function is concave up. Use interval notation for your answer. f(x) =…

A: our objective is to find the concavity.

Q: What is the interval of possible values for r^2? Use interval notation.

A: Given that we need to find the interval of possible values of r2 . As we know that square of any…

Q: what is the domain of f(x)? use interval notation -2 -し

A: To find the domain of the function where the function exist.

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Given that : sin-1 sin 5π4 = 5π4  Determine whether the statement makes sense or does not make…

Q: Is f(x) = ±√x, a function or a relation? Give reason/s to support your answer. ( please explain in…

A: Given , function                     f(x) =±√x  Definition of function: A relation is said to be a…

Q: 8х + 7 State the domain of the function f(x) in interval notation. 9ж + 2

A: Given,f(x)=8x+79x+2

Q: The domain of f is the same as the range of f -1.Determine whether the statement is true or false.…

A: An inverse function is a function that reveeses another function. We know that if fx=y then f-1y=x.…

Q: 2. What is the set of range of a. (-00, 0) b. (-5,5) c. [-5,5] d. [0,5] 3. What is the set of…

A:

Q: Determine whether the function g(x)=−x+2  is increasing or decreasing. Justify your conclusion using…

A:

Q: For which values of x is the function f(x)=x+|x+5|

A:

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.