Graph each absolute value function. State the domain, range, and y-intercept.
2 answers:
Answer:
Domain : all real numbers.
Y-intercept : (0,-1)
The range is y >= -3.
Step-by-step explanation:
We have given the function:
y = 2Ix-1I -3
We have to draw the graph of this equation.
As see from the equation the domain is :
domain: all real numbers.
As we see from the graph the y-intercept is -1 (the point where x = 0)
y-intercept = (0,-1)
The range is y >= -3.
The graph is attached with the question.
Answer:
The domain ⇒ x ∈ real number
The range ⇒ y ≥ -3
The y-intercept ⇒ (0 , -1)
Step-by-step explanation:
∵ y = 2Ix - 1I - 3
∴ y = 2(x - 1) - 3
∴ y = 2x - 2 - 3 = 2x - 5 ⇒ positive slope
∴ y = 2(-x + 1) - 3
∴ y = -2x + 2 - 3 = -2x - 1 ⇒ negative slope
∴ 2x - 5 = -2x - 1 ⇒ 4x = 4 ⇒ x = 1
∴ Y = 2(1) - 5 = -3
∴ The two lines intersect each other at (1 , -3)
∴ The domain is x ∈ real number
∴ The range is y ≥ -3
∴ The y-intercept = -1 ⇒ (0 , -1)
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