1. The equation of a function is y= 2x + 3, find the value of "y" when x= -1
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Step-by-step explanation:
What is the vertex of the graph of y = |2x - 3| - 5? What is the range of the function?
You should be able to recognize that the value inside the absolute has to be positive or 0,
therefore the the range (y) has to be - 5 or greater, right?
:
Plot a couple points here
x = -3
y = |2(-3) - 3| - 5
y = |-6 - 3| - 5
y = |-9| - 5
Remove the absolutes
y = 9 - 5
y = +4
Plot x/y point -3, +4
:
Plot the value so that the value inside the absolute = 0
x = 1.5
y = |2(1.5) - 3| - 5
y = |3 - 3| - 5
y = 0 - 5
y = -5
Plot point x/y : 1.5, -5, the minimum range
;
x = +3
y = |2(3) - 3| - 5
y = |6-3| - 5
y = 3 -5
y = -2
Plot points x/y +3, -2
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