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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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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 are the following functions state the vertex and what transformations on the parent function are needed to make the graph of the given function?

To determine the vertex and transformations of a given function, we first need the specific function itself. For example, if the function is in the form (f(x) = a(x-h)^2 + k), the vertex is ((h, k)). The transformations from the parent function (f(x) = x^2) would include a vertical stretch/compression by factor (a), a horizontal shift (h) units, and a vertical shift (k) units. If you provide the specific function, I can give a more detailed answer.


What is the parent function of the linear function?

The parent function of a linear function is ( f(x) = x ). This function represents a straight line with a slope of 1 that passes through the origin (0,0). Linear functions can be expressed in the form ( f(x) = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept, but all linear functions are transformations of the parent function ( f(x) = x ).


What is the mathematical formula used to relate force and work?

W = F x d Work = Force times distance


The exponential function f(x) 2x undergoes two transformations to g(x) 5 and acirc and 128 and cent 2x and acirc and 128 and 147 3. How does the graph change Select all that apply.?

The function ( f(x) = 2^x ) is transformed to ( g(x) = 5 \cdot 2^{x - 3} + 8 ). The transformations include a vertical stretch by a factor of 5, a horizontal shift to the right by 3 units, and a vertical shift upwards by 8 units. This results in the graph being stretched taller, moved right, and shifted upward.

Related Questions

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.


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.


How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?

f(x) = Cos(x) f'(x) = -Sin(x) Conversely f(x) = Sin(x) f'(x) = Cos(x) NB Note the change of signs.


What is the mathematical relationship between the celsius scale and faherenite scale of temperature?

F = 32 + C x 1.8 or C = (F - 32) x 5/9 Where F is Fahrenheit and C is Celsius.


Which statement best describes how to determine whether f(x) 9 and 4x2 is an odd function?

It is difficult to tell what function you have in the question because the browser used by this site is hopelessly inadequate for mathematical notation.However,f(x) is an odd function of x if and only if f(-x) = -f(x) for all x.Common examples are f(x) = x^k where k is any odd integer, f(x) = sin(x).