What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: g(x)=x^2+x-4 find and simplify g((1/2). Can you please help me with this problem?

A: To determine the value of the function g(1/2).

Q: At time t=0, in seconds, a pair of sunglasses is dropped from the Eiffel Tower in Paris. At time t,…

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Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The given function is y=x-523. The objective is to calculate the point of inflection.

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: Find f(x) • g(x)= (fg)(x). Simplify. F(x)=x^2+8 G(x)=x^2-x+3 (Fg)(x)=

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Q: How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.

A: The given function is f(x) = x2–18x.Replace f(x) by y as y = x2–18x.Interchange the variables and…

Q: Draw the graph of f ( x ) = ( − x + 1 ) ^2

A: F(x) (-x+1)2

Q: Let g(x) = x-6. Find f(x) so that h(x) = (f o g)(x) h(x) = (x-6)^5

A: Given g(x) = x-6 h(x) = (f ∘ g)(x) h(x) = (x-6)5 We have to find f(x).

Q: Given f(x)=(x-1)^2 i) write an equation for -f(x)  ii) State the domain and range of f(x)=(x-1)^2…

A: Graph problem.....

Q: The number of web searches S in billions on a particular web during year x can be approximated by…

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Q: Find the difference quotient g(x)=1/x^2   (g(x)-g(6))/x-6   x cannot =6

A: Plug x=6 in g(x) and find g(6)

Q: hich process best describes graphing the function g(x)=140(0.5)^x/4 on the coordinate p

A: Given,                   g(x)=1400.5x4

Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a…

A: When f(x) shifts 3 units right then it becomes f(x-3)

Q: Graph quadratic function f(x)= 1/4 (x+2)^2-7

A: f(x)=14(x+2)2-7 Therefore,y=14(x+2)2-7

Q: hᴏf(x)=

A: Solve the following

Q: G(7/2)=2(7/2)^2+6 function of g(x)=2(x)^2+6 where G(x) is 7/

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Q: Sketch the graph of f(x) = (x + 1)^3(x−1)^2

A: To sketch the graph of the given function.

Q: What does the 5 represent in the function f(x)=5(2)^x?

A: Explanation of the answer is as follows

Q: graph  F(x)= 2(x-4) ^3-128 and its inverse how to solve?

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Q: Describe differences between (fg)(x) and (fog)(x). Give examples

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Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: What type of equation is this? h(x) = -2(x+1)^2 +3

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: