Write f(x) in terms of unit step functions, Ua(x).

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Express the function in the form f°g. H(x)= / 4 + /x %3D

A:

Q: Given the function f(x) =

A:

Q: Consider the function. f(x) = x +

A:

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x. ( x2…

A: It is given that y is implicitly a function of x. =x2+y23/2 differentiate with respect to x

Q: Find the domain and range of the function f(x) = −∣x + 1∣

A:

Q: Differentiate the following function. 6 f(x) = 12 e

A: Our Aim is to differentiate the function given below:f(x)=12ex6 -(i)

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Can a function such as f (x) = 53x be written in the form f (x) = bx? If so, what is b?

A: Comparison of the functions helps to determine the validity of the statement. The given function is…

Q: Differentiate the expression with respect to x, assuming that y is implicitly a function of x.…

A:

Q: find the domain and range of the function.f (x) = −x

A: Given: fx=-x To Find: The domain and range of the given function

Q: Put the following equation in function using v as the independent variable

A: Solve the given equation for q :   18v-9q=36           9q=18v-36             q=2v-4

Q: Evaluate the piecewise function at the given values of the independent variable. 2x + 3 if x<0 f(x)…

A: Given : fx = 2x+3   if x&lt;02x+7  if x≥0

Q: Find f(3) for the given function. f(x) 3D (x- 2)(x- 4)(x+5) Type your numeric answer and submit

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

Q: Find the function f ∘ f. f(x)= x/(1+x)

A:

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: Differentiate the following function using the 4-step method, indicate each step and explain it,…

A: Given:    f(x) = √(x2+3)   Solve using 4-step method

Q: Determine f (x- 1) for the following function.

A:

Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: Differentiate the following function. f(x) = 186.1

A:

Q: Classify the functions as even, odd, or neither.

A: Given: f(x)=|x-2|

Q: e g(

A: Given: gx=x2+1 , x&lt;c2cx     ,x&gt;0  the given function is constant so that at x=c it gives the…

Q: Differentiate the following function using the 4-step method, indicate each step and explain it,…

A:

Q: y =-2(x– 2)(x– 5) %3D

A: To convert in standard form

Q: Differentiate the following function.   y = xex2

A:

Q: Differentiate the function. f(x) = 270 "(x) =

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Q: Refer to the function: f(x)=[x] dertermine f(-0.8)

A:

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Express the function in the form f ∘ g ∘ h.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Express the function in the form f ∘ g.

A: Given,  Fx=x-95   Since the formula for F says to first subtract 9 and then take the power of 5, we…

Q: Differentiate the following function: xe*

A: No option is correct   final answer= ex(1+x)

Q: Find the domain and range respectively for function 1+x2

A: The given function 1+x2

Q: Determine f'(x) for the following functions:

A: a).f(x)=ln3(x2-4x+5)orf(x)=ln(x2-4x+5)3Differentiate f(x) w.r.t. xf'(x)=ddxln(x2-4x+5)3Using formula…

Q: Use the functions below to find the given value f(x) = ±x - ( - 3 g(x) = x3

A:

Q: Differentiate the following functions with respect to x. 2x-x y = +10r

A: =?

Q: For Exercise, determine if the function is even, odd, or neither. f(x) = 3(x – 4)?

A: Given function

Q: Given the function f (x) = (e')(In x)(x), find f'(x) and simplify.

A: We have to find

Q: For Exercise, find the indicated functions. f(x) = 2x + 1 (g • f• h)(x) g(x) = x² h(x) = Vx

A: We write the given function as:

Q: Differentiate the function and simplify. f(x)= In

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Q: Evaluate f(1/2) for the function f(x)=e^x+1

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Q: Differentiate the function. h(x) = 11 csch- (x³ ) Give your answer in exact form. W (x) =

A:

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

A:

Q: 11. Find the difference quotient for the function f(x)=(x+1), then simplify.

A:

Q: Find the following functions

A: Given: fx=5x-1 and gx=5x2-1 To find: a) f∘gx=?b) g∘fx=?c) f∘g1=?d) g∘f1=?

Q: Given the function f(x) = -, calculate the difference quotient X f(x) = f(a) x - a

A:

Q: Find the domain and range of the function.

A:

Q: For the function f(x) = x` find f"(x), f'(0), f"(1), and f"(- 1).

A:

Q: Differentiate the Following Function f(x) = x^2e^x

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.