For Exercises 1-8, refer to p x = x 3 + 3 x 2 − 6 x − 8 and q x = x 3 − 2 x 2 − 5 x + 6. Find the x -intercepts of the graph of f x = p x q x = x 3 + 3 x 2 − 6 x − 8 x 3 − 2 x 2 − 5 x + 6
For Exercises 1-8, refer to p x = x 3 + 3 x 2 − 6 x − 8 and q x = x 3 − 2 x 2 − 5 x + 6. Find the x -intercepts of the graph of f x = p x q x = x 3 + 3 x 2 − 6 x − 8 x 3 − 2 x 2 − 5 x + 6
Solution Summary: The author explains how to calculate the x-intercepts of the function.
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation
H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet
where x is the number of years after 1980. †
(a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.)____square ft(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)____square feet per year
The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation
H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514
square feet
where x is the number of years after 1980.
1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)
2. Thus, in which year was the median house size was increasing least rapidly?
3. Find the corresponding house size. (Round your answer to one decimal place.)
4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)
Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3)
x=
y=
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