2) The elevation of a race, in h(x) = -x + 7x³ - 4x² -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9DE
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Question 2
che e
ery car
the ro
5 inch
, 4с
-35-
35-
st four
e wh
Practice Problems
(A) g(x) = 3x4 + 18x³ - 14x
(B) g(x) = -8x5 + 15x²50
17
0
1) The function h(x) is a polynomial of degree 3. As x→ ∞o, the value of h(x) decreases. As x-co, the value of h(x) increases. Which
polynomial exhibits the same end behavior as h(x)?
6
12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 102 108 114)
Time (minutes)
(A) The domain is x ≥ 0 and the range is y 2 10
(B) The membership quadruples each year.
(C) The function has a maximum value of 40,960
(C) g(x) = 8x5 - 35x² + 20
(D) 3x21x³ + 12x
2) The elevation of a race, in meters above sea level, as a function of its distance in kilometers from the start line is described by the function
h(x) = -x + 7x³ - 4x² - 12x. On which intervals is the elevation of the race decreasing?
3) 5) A website that introduces people of all ages to computer programming
started with 10 members. The table below shows several values of the
function f(x), the total number of members x years after the website
began. Which statements accurately describe the function f(x)? Select all that apply.
4
5
6
Age of Website (years) 0 1 2 3
Number of Members 10 40 160 640 2,560 10,240 40,960
(D) The graph has symmetry about the vertical line x = 6
(E) The membership is predicted to be 163,840 when the website is 7 years old.
? X=
a(3)
Transcribed Image Text:che e ery car the ro 5 inch , 4с -35- 35- st four e wh Practice Problems (A) g(x) = 3x4 + 18x³ - 14x (B) g(x) = -8x5 + 15x²50 17 0 1) The function h(x) is a polynomial of degree 3. As x→ ∞o, the value of h(x) decreases. As x-co, the value of h(x) increases. Which polynomial exhibits the same end behavior as h(x)? 6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96 102 108 114) Time (minutes) (A) The domain is x ≥ 0 and the range is y 2 10 (B) The membership quadruples each year. (C) The function has a maximum value of 40,960 (C) g(x) = 8x5 - 35x² + 20 (D) 3x21x³ + 12x 2) The elevation of a race, in meters above sea level, as a function of its distance in kilometers from the start line is described by the function h(x) = -x + 7x³ - 4x² - 12x. On which intervals is the elevation of the race decreasing? 3) 5) A website that introduces people of all ages to computer programming started with 10 members. The table below shows several values of the function f(x), the total number of members x years after the website began. Which statements accurately describe the function f(x)? Select all that apply. 4 5 6 Age of Website (years) 0 1 2 3 Number of Members 10 40 160 640 2,560 10,240 40,960 (D) The graph has symmetry about the vertical line x = 6 (E) The membership is predicted to be 163,840 when the website is 7 years old. ? X= a(3)
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