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Why is Tina's answer incorrect if she claims that three transformation done in any order will always produce the same results?
All transformations are not commutative.
If you double the input of a function and it results in four times the output and if you triple the input and it results in six times the output what can be guessed about the function?
more input results in more output the function is most likely directly proportional
The value that results from the substitution of a given input into an expression or function?
The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
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.
An even function of minus x does not equal the function of positive x for all values of x -a composite function which results from the function of g within the function of x?
The first part of the question is false, and the correct answer is that an even function of minus x equals the function positive x. This follows from the very definition of an even function. The second part of the question is false, because the truth is that the composite function results from taking the function of x within the function g.
