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PLEASE HELP this is literally due tomorrow

PLEASE HELP this is literally due tomorrow-example-1

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Answer: see below

Explanation:

Domain is all of the x-values. Notice that every x-value is included except the points between x = 0 and x = 1.

D: x = (-∞, 0] ∪ (1, ∞)

Range is all of the y-values. Notice that every y-value is included except the points between y = 3 and y = 6.

R: y = (-∞, 3] ∪ [6, ∞)

x-intercepts are where the lines cross the x-axis (when y = 0).

x = -3, x = 3 This can also be written as coordinates (-3, 0) & (3, 0)

y-intercepts are where the lines cross the y-axis (when x = 0).

y = 3 This can also be written as coordinate (0, 3)

Maximum is the largest y-value.

y =

Minimum is the smallest y-value:

y = -∞

Increasing is the x-values when the line is going UPWARD from left to right (positive slope). This occurs for the x + 3 (when x ≤ 0) and 2x (when x > 3)

Increasing: x = (-∞, 0] ∪ (3, ∞)

Decreasing is the x-values when the line is going DOWNWARD from left to right (negative slope). This occurs for the 3 - x (when 1 < x ≤ 3)

Decreasing: x = (1, 3]

Positive is the x-values when the y-values are positive (above the x-axis).

This occurs between x = 3 and x = 0 and when x is greater than 1 (except at 3).

Positive: (-3, 0] ∪ (1, 3) ∪ (3, ∞)

Negative is the x-values when the y-values are negative (below the x-axis).

This occurs when x is less than -3.

Positive: (-∞, -3)

End behavior: as x moves to the right (positive infinity), y goes up

as x → ∞, y →

as x moves to the left (negative infinity), y goes down

as x → -∞, y → -∞

f(1) means find the y-value when x = 1. Since there is no x-value at 1, there is no y-value.

f(1) = Does Not Exist

PLEASE HELP this is literally due tomorrow-example-1
User Jeremy Wilken
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