What equation represents the line shown on the graphs
2 answers:
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Answer:
f(x) = 3 if x ≤ -2
= 1 if x > -2 ⇒ attached figure
Step-by-step explanation:
* Lets explain how to answer the question
- For the part of the graph on the left side (2nd quadrant)
- There is a horizontal line start from x = -∞ and stop at x = -2
- The end of the line is black dot means x = -2 belongs to the function
- The horizontal line drawn at y = 3
∴ The equation of the horizontal line is y = 3
∴ The function represents this part of graph is y = 3 if x ≤ -2
- The other part of the graph is also horizontal line start from
x = -2 to x = ∞
- The end of the line is white dot means x = -2 does not belong
to the function
- The horizontal line drawn at y = 1
∴ The equation of the horizontal line is y = 1
∴ The function represents this part of graph is y = 1 if x > -2
* f(x) = 3 if x ≤ -2
= 1 if x > -2
- The answer is attached
Manipulating the left side of the equation, we obtain:
Using that
:
Using that
Answer:
C and D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (9, 3) ← 2 points on the line
m = =
=
Using (a, b ) = (9, 3 ) , then
y - 3 = (x - 9) → C
Using (a, b ) = (- 3, - 6 ), then
y - (- 6) = (x - (- 3) ) , that is
y + 6 = (x + 3) → D