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EastWind [94]
3 years ago
5

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Solution:

1. The given function is

f(x) = 2 x

it is equation of line passing through origin having slope 2 and the line passes through first and third quadrant.

Domain= All Real numbers, Range = All Real Numbers

2. Now , when x is replaced by (-12 x), we get

f(-12 x)= 2 × (-12 x)

Let f(-12 x)= f(z)= -24 x

it is equation of line passing through origin having slope -24 and the line passes through second and fourth quadrant.

Domain= All Real numbers, Range = All Real Numbers

Relation between the two function i.e between 1 and 2 is

→Slope of line 2 = Slope of line 1 × (-12)

→ The function 2 i.e f(z)= -24 x shifts in left Direction.

The function 1 is dilated by factor of (-12) to get function 2.

olasank [31]3 years ago
4 0
It would be replaced with f(-2) which is the reciperacle of 2x
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