The Piecewise -Defined function and how it is graphed is given below..
<h3>What is the explanation of how the
Piecewise -Defined function is graphed?</h3>
Given the function in the attached image,
- The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.
- The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.
- The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.
See the attached Graph for better understanding.
- f(x) = -x + 3 is coded purple.
- f(x) = 3 is coded orange.
- f(x) = 4 - 2x is coded green.
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Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
Answer:
7 because 7×7=49.
Step-by-step explanation:
7 because 7×7=49
-2 1/3 -(-5)= 8/3
convert the mixed number to an improper fraction (7/3)
