Answer:
D. F(x) = 1/(x +5)²
Step-by-step explanation:
The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...
F(x) = 1/(x +5)²
_____
<em>Additional comment</em>
The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.
Answer:
<u>y = -2x + 7</u>
Explanation:
<em><u>y = mx + b</u></em>
<em><u /></em>
<em>m = slope</em>
<em>b = y-intercept</em>
<em>y = a given y coordinate</em>
<em>x = a corresponding x coordinate</em>
<em />
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = 
= 
= 
= -2
plug in the values to the equation <u>y = mx + b</u>
<u />
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
<u><em>y = -2x + 7</em></u>
ANSWER
c. Domain: [0,18]
Range: [0,360]
EXPLANATION
The domain refers to the values of x for which the function is defined.
The given straight line graph is defined for x=0 to x=18.
Hence the domain is [0,18]
The range refers to the values of y for which x is defined.
The graph is defined for y=0 to y=360.
The range is [0,360]
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Step-by-step explanation:
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