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
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.
W = F x d Work = Force times distance
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.
The mathematical product of 5 and x is 5x.
X is a variable in the mathematical language. X could be any number, letter or equation.
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
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.
+, -, x, ÷ for addition, subtraction, multiplication and division respectively.
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)?
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.
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.
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.
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.
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.
f(x) = Cos(x) f'(x) = -Sin(x) Conversely f(x) = Sin(x) f'(x) = Cos(x) NB Note the change of signs.
F = 32 + C x 1.8 or C = (F - 32) x 5/9 Where F is Fahrenheit and C is Celsius.
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).