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The evaluation of the function for the given f(-1), f(1) input value is mathematically given as
- f(-1) = -8
- f(1) = -12
In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain. Historically, functions have been seen as an idealization of the way in which one variable relies on another variable.
-1 and 1 are both considered to be input when evaluating the function f, which is represented by the graph.
Since the inputs are on the x-axis, the graph demonstrates that the value of the function f at -1 is about -8 when x equals -1.
When x equals 1, the value of the function f is close to -12.
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The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>The equation of the function is given as:
The parent function of the above equation is:
First, the function f(x) is reflected across the y-axis to give
Next, the function is shifted 2 units up.
So, we have:
Rewrite as:
Express f(-x) + 2 as g(x).
So, we have:
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
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