The absolute value function, f(x) = |x + 2|, is shown.
1 answer:
ANSWER
all real numbers
EXPLANATION
The given absolute value function is
This function is obtained by shifting the graph of
to the left by 2 units.
Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.
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Average rate of change=slope
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment