Answer: -2 ≤ D ≤ 2
The graph of h(x) is shown. Graph of h of x that begins in quadrant two and decreases rapidly following the vertical line which
is 5 units to the left of the y-axis. The curve crosses the x-axis 4 units to the left of the origin and crosses the y-axis one unit below the origin and then continues to decrease to the right in quadrant 4. What are the intercepts and asymptote(s) of h(x)? Explain how to find these using the graph.
2 answers:
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Answer:
the equation of the line in slope-intercept form is:
Step-by-step explanation:
First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points and
on the plane:
Then for our case, calling (-4, 6) = and (-8, 10) =
, we have:
Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point that tells us:
We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus:
For each answer, we can plug in the given points:
A) is technically the same as B), but B) expresses correct function notation.
B) 5 = 5(1) ⇒ 5 = 5
25 = 5(2) ⇒ 25 ≠ 10
B) is incorrect.
C) I'm not sure what you mean y=5^5=x, but I'm going to use
because it's close to what you wrote:
The function works for the points given.
D) 5 = 1 + 5 ⇒ 5 ≠ 6
D) is not correct.
Please check your functions; I'm not sure that C) is a function. In any case, the answer is C) because all the other answers are wrong.
A) is technically the same as B), but B) expresses correct function notation.
B) 5 = 5(1) ⇒ 5 = 5
25 = 5(2) ⇒ 25 ≠ 10
B) is incorrect.
C) I'm not sure what you mean y=5^5=x, but I'm going to use
The function
D) 5 = 1 + 5 ⇒ 5 ≠ 6
D) is not correct.
Please check your functions; I'm not sure that C) is a function. In any case, the answer is C) because all the other answers are wrong.
Answer:
Step-by-step explanation:
Divide both sides by 9 to isolate x:
Hope this helps!