10/13/2016
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Practice Quiz for Sections 1.4 to 1.6 (9753704)
Due:
Mon Oct 17 2016 08:15 AM EDT
Question
1.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Question Details
SCalcET7 1.4.017. [1767219]
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Graph the ellipse 2x2 + 6y2 = 1 by graphing the functions whose graphs are the upper and lower halves of the ellipse.
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2.
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SCalcET7 1.4.021. [1767179]
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Find all solutions of the equation correct to two decimal places. (Enter your answers as a comma­separated list.)
x4 − x = 9
x = 3.
Question Details
SCalcET7 1.4.023. [1767104]
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Find all solutions of the equation correct to two decimal places. (Enter your answers as a comma­separated list.)
tan x = 4 − x2 x = 4.
Question Details
SCalcET7 1.4.503.XP. [1761582]
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Find all solutions of the equation. (Enter your answers as a comma­separated list. Round your answers to two decimal
places.)
x2 = sin x
x = 5.
Question Details
SCalcET7 1.4.504.XP. [1761617]
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For what values of x is it true that |sin x − x| < 0.04? (Enter your answer using interval notation. Round your answers to
two decimal places.)
6.
Question Details
SCalcET7 1.4.JIT.008. [1779281]
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Find the solutions of the inequality by drawing appropriate graphs. State each answer rounded to two decimals. (Enter your
answer using interval notation.)
x2 ≤ 2x + 8
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7.
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SCalcET7 1.5.001. [1775502]
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SCalcET7 1.5.003. [1767174]
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SCalcET7 1.5.020.MI. [1723835]
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Use the Laws of Exponents to rewrite and simplify the expression.
(a) 9−3
3−8
(b) 1
3
x4
8.
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Use the Law of Exponents to rewrite and simplify the expression.
(a) b8(2b)5
(b) (6y3)4
2y7
9.
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Find the domain of each function. (Enter your answers in interval notation.)
(a) g(t) = sin(e−t)
(b) g(t) = 1 − 6t http://www.webassign.net/[email protected]/assignments/[email protected]
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10.
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Question Details
SCalcET7 1.5.021. [1835686]
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SCalcET7 1.5.028. [1637466]
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Find the exponential function f(x) = Cax whose graph is given.
f(x) = 11.
Question Details
Use a graph to estimate the values of x such that ex > 1,000,000. (Round your answer to three decimal places.)
x > 13.816
12.
Question Details
SCalcET7 1.5.501.XP. [1761622]
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SCalcET7 1.6.009.MI. [1637299]
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Find the domain of each function. (Enter your answers using interval notation.)
(a) f(x) = 7
7 + ex
(b) f(x) = 2
1 − ex
13.
Question Details
A function is given by a formula. Determine whether it is one­to­one.
f(x) = x2 − 2x
Yes, it is one­to­one.
No, it is not one­to­one. http://www.webassign.net/[email protected]/assignments/[email protected]
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14.
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Question Details
SCalcET7 1.6.010. [1637483]
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SCalcET7 1.6.011. [1637193]
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SCalcET7 1.6.012. [1637623]
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SCalcET7 1.6.015. [1771982]
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SCalcET7 1.6.021. [1767207]
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A function is given by a formula. Determine whether it is one­to­one.
f(x) = 11 − 3x
Yes, it is one­to­one.
No, it is not one­to­one. 15.
Question Details
A function is given by a formula. Determine whether it is one­to­one.
g(x) = 8/x
Yes, it is one­to­one.
No, it is not one­to­one. 16.
Question Details
A function is given by a formula. Determine whether it is one­to­one.
g(x) = cos(x)
Yes, it is one­to­one.
No, it is not one­to­one. 17.
Question Details
Assume that f is a one­to­one function.
(a) If f(4) = 13, what is f −1(13)?
4 (b) If f −1(7) = 5, what is f(5)?
18.
7
Question Details
Find a formula for the inverse of the function.
f(x) = 1 + 4 + 6x f −1(x) = http://www.webassign.net/[email protected]/assignments/[email protected]
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19.
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Question Details
SCalcET7 1.6.022.MI. [1637523]
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Find a formula for the inverse of the function.
f(x) = 2x − 1
2x + 9
f −1(x) =
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20.
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Question Details
SCalcET7 1.6.029. [1773989]
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Use the given graph of f to sketch the graph of f −1.
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21.
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Let f(x) = SCalcET7 1.6.031. [1773916]
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16 − x2 , 0 ≤ x ≤ 4.
(a) Find f −1.
f −1(x) = (for 0 ≤ x ≤ 4)
How is it related to f?
They are identical.
They are not identical. (b) Identify the graph of f.
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22.
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SCalcET7 1.6.051. [1769758]
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SCalcET7 1.6.055. [1769753]
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SCalcET7 1.6.071. [1836316]
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SCalcET7 1.6.508.XP. [1763147]
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Solve each equation for x.
(a) e9 − 4x = 5
x = (b) ln(3x − 17) = 9
x = 23.
Question Details
Solve each inequality for x. (Enter your answers using interval notation.)
(a) ln x < 0
(b) ex > 3
24.
Question Details
Simplify the expression.
sin(tan−1 x)
25.
Question Details
Solve each equation for x. (Enter an exact answer.)
(a) 7 ln x = 1
x = (b) e−x = 9
x = Assignment Details
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