Question: The function f is defined by f : x |2x a|, {x }, where a is a positive constant. a. Sketch the
The function f is defined by f : x ↦ |2x − a|, {x ∈ ℝ}, where a is a positive constant.
a. Sketch the graph of y = f(x), showing the coordinates of the points where the graph cuts the axes.
b. On a separate diagram, sketch the graph of y = f(2x), showing the coordinates of the points where the graph cuts the axes.
c. Given that a solution of the equation f(x) = 1/2 x = 4, find the two possible values of a.
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