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chambersjamal05
01.07.2019 •
Mathematics
The graph of f(x) = 18x is reflected about the x-axis and shifted upward 8 units. what is the equation of the new function, g(x)? g(x) = state the y-intercept of g(x). (x, y) = state the domain and range of g( your answers using interval notation.) domain- range-
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Ответ:
Reflecting a function across the x-axis changes every y-value to its opposite. That is, f(x) = 18x becomes g(x) = -18x.
Shifting a function upward 8 units adds 8 to every y-value. That is, g(x) becomes g(x)+8.
The combined effect of these two transformations on f(x) is to give you ...
... g(x) = -18x + 8
You recognize this as the equation of a line in slope-intercept form, with the y-intercept being +8. That is, g(0) = -18·0 +8 = 8. The y-intercept is ...
... (0, 8)
The domain and range of any linear equation is "all real numbers," that is, ...
... (-∞, ∞).
Ответ:
33
Step-by-step explanation: