How do you graph #y= absx -3#?

Answer 1

take a look at the explanation

draw this first: when x = 1, y=1, when x=2, y=2...and so on... when x = -1, y = 1 when x = -2, y =2...and so on... graph{y = |x| [-10, 10, -5, 5]} then apply y-intercept "-3" graph{y = |x|-3 [-10, 10, -5, 5]}

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Answer 2

Hazel Anglin

To graph the equation y = |x| - 3, you plot points on a coordinate plane.

Choose a range of x-values, such as -3, -2, -1, 0, 1, 2, 3.
For each x-value, calculate the corresponding y-value using the equation y = |x| - 3.
Plot the points (x, y) on the coordinate plane.
Connect the points with a smooth curve.

Remember that the absolute value function |x| takes the absolute value of the input x, so it's always non-negative. Hence, the graph will reflect any negative portions of x onto the positive side. Finally, subtracting 3 shifts the entire graph down by 3 units.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.