x + 9 for x < -5 f (x) = 2 for -5 -x – 1 for x > -5 Find f(-7)

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3

A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…

Q: 5. f(x) =-2 x-1 6. f(x) = 2 7. f(x) = x² + 3

A:

Q: 9) Find f(-2). f(x)=3x2 - 8x + 7 My Answer: 10) Given f(x) = x2 - x³, find f(-10). %3D My Answer:…

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Q: -(x+ 6)2 + 4 for x 2 Find f(-4)

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Q: The intervals of increasing and decreasing for the function f(x) = (x – 4)² + 8 is increasing in [6,…

A:

Q: - 2< x< -1 f(x) = {-2 -1< x< 1 .0 1< x< 2

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Q: V-x + 1 if x2 .

A:

Q: The intervals where the function f(x) = -x² + 8x + 8 is increasing and decreasing is increasing in…

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: Зх + 6 for x 1 Find f(-2)

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Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

A:

Q: - X-1 0-x +x+ ix 0-x-r 23. x + x - x

A:

Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: f ''(x) = 8 + 6x + 36x2, f(0) = 5, f (1) = 16

A:

Q: 2х - 2 -1< x<0 f (x) = {-2x – 2 (5 (x+2) 0 <x<1

A:

Q: lim f(x). V5-2x2 <f(x)< V5-x² for -15xs1, find

A: Since both the function lies in interval for x=0. Hence let us find the interval  for the first…

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: The intervals where the function f(x) = -x2 +8x +8 is increasing or decreasing is increasing in…

A:

Q: 4. f(x)2-と x+ x2-2 5. f(x): Xー

A: Given: Notice that the first function is not defined at x=-2 and the second function is not defined…

Q: F(x)=x^2-1 F(-1/7)

A:

Q: 3. f(x) = x+2 4. f(x) = /2 x-7/ when x -3.8 (x-3, x<1 5. f()-1+5, x21' table of val:

A:

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: f ( x ) = x ^ { 2 } - 4 x - 12

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Q: f(x)={x2-9/x-3 if x is not 3.  7 if x=3

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Q: 2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

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Q: 10 -8 -2 10 -2 -4 -6 -8 -10 for f(x) = |3D for 8 4.

A: We will find out the required equation of given piece wise function.

Q: ind the intervals where f(x)= x3-2x2+8 is increasing and the intervals where it is decreasing

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: 4. If f(x) = -2*43 find X-1

A:

Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

A:

Q: 8. f"(x)= 1 2 f'(-1) = 2; f(-1) = 4 x²

A:

Q: 5. f(x) = {" -2 (x² – 4 if x # -3 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: We can solve the problem by just putting the values as per instructions.

Q: (x+ 7)2 – 2 for x 1 Find f(-4)

A:

Q: [2-x² for x2

A: Given:

Q: The intervals of increasing and decreasing for the function f(x) = (x – 4)² + 8 is increasing in [5,…

A: The given function is: f(x)=(x-4)2+8

Q: f(x)=x^3 for = -1, 4   f(-1) =  F(4)=

A:

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

A:

Q: -(x + 6)² + 4 for x 2 Find f(-4)

A:

Q: 5. f(x) = -, -2 < xS 2

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 3. Find f(-7) if:f(x) = 5 – x if x0 %3D

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Q: the intervals where the function is increasing and the interval is decreasing  f(x) = 1/3x^3 - 5x^2…

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Q: F(x)=-x^2+6 Find f(-3)

A: Given :

Q: IT -2, when -A <x<- f (x) = when %3D <Xく - - -2, when IT <X <I. - 2,

A:

Q: С. -5- i.) f (3) = %3D 4-+ ii.) If f(x) = 2 , then x = or %3D 2- -2- %24

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.