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f(x)+a : shift upward a units

f(x)-a : shift downward a units

f(x+a) : shift left a units

f(x-a) : shift right a units

-f(x) : reflection across the x-axis

f(-x) : mirror; reflection across the y-axis

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Which function results after applying the sequence of transformations to f(x)x5?

To determine the resulting function after applying a sequence of transformations to ( f(x) = x^5 ), you need to specify the transformations applied (e.g., shifts, stretches, reflections). For example, if you apply a vertical shift upwards by 2 units, the new function would be ( f(x) = x^5 + 2 ). If you reflect it over the x-axis, it would become ( f(x) = -x^5 ). Without specific transformations, the resulting function cannot be definitively identified.


Which function results after applying the sequence of transformations to f(x) x5?

To determine the resulting function after applying a sequence of transformations to ( f(x) = x^5 ), we need to specify the transformations. Common transformations include vertical shifts, horizontal shifts, reflections, and stretches/compressions. For example, if we apply a vertical shift up by 2 units, the resulting function would be ( f(x) = x^5 + 2 ). Without specific transformations, we can't define the exact resulting function.


What is the relative extrema at f(x)x 2sinx with interval (02pi)?

The local extrema of f(x) = x + 2*sin(x) are 6.2832 and 2.4567 (approx).If the question was about some other function of x, please resubmit using words for mathematical symbols. The browser that you are required to use for posting questions is rubbish and will reject most mathematical symbols. In this case, all that I can see is "f(x)x 2sinx" and have had to guess the rest.


What do you mean by Identity function?

The identity function is a mathematical function that always returns the same value as its input. In formal terms, for any input ( x ), the identity function is defined as ( f(x) = x ). It serves as a fundamental concept in various fields, including algebra and calculus, and is used to illustrate the properties of functions and transformations. Essentially, it acts as a "do nothing" function, leaving its input unchanged.


What are the transformations for the graph of y (x plus 4)10 - 2?

The graph of ( y = (x + 4)^{10} - 2 ) undergoes two transformations from the basic graph of ( y = x^{10} ). First, it shifts 4 units to the left due to the ( (x + 4) ) term. Then, it shifts down 2 units because of the subtraction of 2.

Related Questions

Which function results after applying the sequence of transformations to f(x)x5?

To determine the resulting function after applying a sequence of transformations to ( f(x) = x^5 ), you need to specify the transformations applied (e.g., shifts, stretches, reflections). For example, if you apply a vertical shift upwards by 2 units, the new function would be ( f(x) = x^5 + 2 ). If you reflect it over the x-axis, it would become ( f(x) = -x^5 ). Without specific transformations, the resulting function cannot be definitively identified.


Which function results after applying the sequence of transformations to f(x) x5?

To determine the resulting function after applying a sequence of transformations to ( f(x) = x^5 ), we need to specify the transformations. Common transformations include vertical shifts, horizontal shifts, reflections, and stretches/compressions. For example, if we apply a vertical shift up by 2 units, the resulting function would be ( f(x) = x^5 + 2 ). Without specific transformations, we can't define the exact resulting function.


Does the order of transformation of functions matter?

Nope.* * * * *The above answer is so wrong!Suppose f and g are two transformations wheref(x) = 2x, andg(x) = x2Then f(g(x)) = f(x2) = 2x2Whileg(f(x)) = g(2x) = (2x)2=4x2Therefore f(g(x)) = g(f(x)) only when x = 0


Why is the function f(x) important in mathematical analysis?

The function f(x) is important in mathematical analysis because it represents a relationship between an input x and an output f(x), allowing for the study and understanding of various mathematical concepts such as continuity, differentiability, and integration. It helps in analyzing and solving complex problems in calculus, algebra, and other branches of mathematics.


What are four basic mathematical symbols?

+, -, x, ÷ for addition, subtraction, multiplication and division respectively.


What transformations change the graph of fx to the graph of gx?

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?


What is f (x)x?

The browser used by this site for posting questions is almost totally useless for many mathematical questions because it rejects most mathematical symbols and does recognise superscripts.I am assuming the expression is f(x) = 900*(0.65)^x. If so, the domain is x>= 0.


How do you calculate f times x?

To calculate f times x, you simply multiply the value of f by the value of x. This can be represented as f * x. For example, if f = 5 and x = 10, then f times x would be 5 * 10 = 50. Multiplication is a basic arithmetic operation that involves repeated addition and is essential in various mathematical calculations.


What is the domain f(x)900(0.65)x?

The browser used by this site for posting questions is almost totally useless for many mathematical questions because it rejects most mathematical symbols and does recognise superscripts.I am assuming the expression is f(x) = 900*(0.65)^x. If so, the domain is x>= 0.


What is the inverse of the function f(x) x 2?

It is difficult to be sure because the browser used for posting questions on this site is utter rubbish and strips out all mathematical symbols. If your question was f(x) = x + 2 then the inverse is f(x) = x - 2.


How do you start composing a mathematical function?

To start composing a mathematical function, first identify the two functions you wish to combine, typically denoted as ( f(x) ) and ( g(x) ). The composition of these functions is expressed as ( (f \circ g)(x) = f(g(x)) ), meaning you apply the function ( g ) to ( x ) first, and then apply the function ( f ) to the result of ( g(x) ). Ensure that the output of the inner function ( g(x) ) is within the domain of the outer function ( f ). Finally, simplify the resulting expression if possible.


What is the relative extrema at f(x)x 2sinx with interval (02pi)?

The local extrema of f(x) = x + 2*sin(x) are 6.2832 and 2.4567 (approx).If the question was about some other function of x, please resubmit using words for mathematical symbols. The browser that you are required to use for posting questions is rubbish and will reject most mathematical symbols. In this case, all that I can see is "f(x)x 2sinx" and have had to guess the rest.