SOLUTION: Describe the effect of changes to the constant b in f(x)=|x|+b. This is what I incorrectly came up with.....The effect of changes to the constant b in f(x) = |x| + b show that the
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-> SOLUTION: Describe the effect of changes to the constant b in f(x)=|x|+b. This is what I incorrectly came up with.....The effect of changes to the constant b in f(x) = |x| + b show that the
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Question 668903: Describe the effect of changes to the constant b in f(x)=|x|+b. This is what I incorrectly came up with.....The effect of changes to the constant b in f(x) = |x| + b show that the function is increasing or staying constant. This is because any number you enter for x and b will give you an increased slant or constant in the graph. You are finding the absolute value of x so that will give you a positive number. You can add any positive number as b and it will increase the slant of the graph. If you use a negative number as b then the graph will stay constant. Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! The constant b becomes the low point of the graph.
when x is equal to 0, y is equal to b
as x goes more negative, the absolute value of x goes more positive which makes the value of y higher.
as x goes more positive, the absolute value of x goes more positive which makes the value of y higher.
b is the minimum point of the graph.
the graph is shown below with a value of 6 for b:
whatever value you choose for b will be the minimum point of the graph.
the slant doesn't change since that's determined by the coefficient of the x term which is always 1.
for example, if i made the graph |2x| + 6, you would then see a different slant as shown below:
