Answer:

Step-by-step explanation:
<u>Recall:</u>
- Slope ->

- Slope-intercept form ->

- Y-intercept ->

<u>Given:</u>
<u>Slope calculation:</u>

<u>Y-intercept calculation:</u>




<u>Final equation:</u>
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Since anything within absolute value signs is ≥0, we know that the minimum value, when x=-2, is 7
So the vertex is the point (-2, 7)
Answer:
Length = 6 cm Breadth = 5 cm
Step-by-step explanation:
All I did was find the factors of 30, and look out for the one that also equals 22 when added. 5+5+6+6=22, 5x6=30.
Answer:
The function f(x) has a vertical asymptote at x = 3
Step-by-step explanation:
We can define an asymptote as an infinite aproximation to given value, such that the value is never actually reached.
For example, in the case of the natural logarithm, it is not defined for x = 0.
Then Ln(x) has an asymptote at x = 0 that tends to negative infinity, (but never reaches it, as again, Ln(x) is not defined for x = 0)
So a vertical asymptote will be a vertical tendency at a given x-value.
In the graph is quite easy to see it, it occurs at x = 3 (the graph goes down infinitely, never actually reaching the value x = 3)
Then:
The function f(x) has a vertical asymptote at x = 3