5.1 - 5.3 Review
5.4 - Solving
5.5 - Operations
5.6 - Inverses
Valentine's Day Triva
100
Give the domain and range of:
sqrt(x+1)+2
Domain: x is greater than or equal to -1
Range: y is greater than or equal to 2
100
Solve the equation:
root(3)(x)-9=-6
x = 27
100
Find (f - g)(x)
f(x)=-2x^(2/3)and g(x)=7x^(2/3)
-9x^(2/3)
100
Are the following functions inverses?
Yes; the input and output values are switched.
100
What does the O in XOXO stand for?
A) Wedding Ring
B) Kisses
C) Hugs
D) Love
O=Hugs X=Kisses
200
Simplify the expression:
(20^(1/2)/5^(1/2))^3
4^(3/2)
200
Solve the equation:
sqrt(10x+9)=x+3
x = 0, 4
200
Find the domain of (f+g)(x)
f(x)=3x^(1/5) and g(x)=x^(1/5)
All real numbers
200
Does the following have an inverse that is a function? Explain.
Yes; it passes the horizontal line test.
200
In addition to being the unofficial patron saint of love, what occupation is St. Valentine also believed to be the patron of?
A) Beekeepers
B) Exorcists
C) Brewers
D) Arms Dealers
Besides his patronage of couples, love and happy marriages, St. Valentine is also charged with ensuring the sweetness of honey and the protection of beekeepers.
300
Describe the transformation from the parent function:
-root(3)(x)-2
Reflection over the x-axis
Vertical Shift down 2
300
Solve the equation:
(3x)^(1/3)=-3
x = -9
300
Find f*g(x) and evaluate for x=32:
f(x)=3x and g(x)=x^(1/5)
=3x^(6/5) and x=192
300
Find the inverse of the function:
f(x) = 1/3x-2
y = 3x+6
300
How many Valentine Cards are sent each year?
A) 10 Billion
B) 2 Billion
C) 1 Billion
D) 500 Million
The Greeting Card Association estimates that approximately one billion valentine cards are sent world-wide each year, making Valentine's Day the second largest card-sending holiday of the year behind Christmas.
400
Solve for x:
(x-3)^4=21
x = 5.1 and 0.9
400
State the extraneous solution(s) if there are any:
sqrt(44-2x)=x-10
Extraneous solution = 4
(Actual Solution x = 14)
400
Find the domain of f/g(x) and evaluate when x=5:
f(x)=8x and g(x)=2x^(5/6)
Domain: x > 0 and x = 5.2
400
Find the inverse of the function:
f(x) = 2x^3+1
root(3)((x-1)/2
400
Statistically, a woman who purchases flowers on Valentine's Day is most likely buying them for ...?
A) Her Significant Other
B) Her Mother
C) Herself
D) Her Children
According to the Ipsos-Insight for the American Floral Endowment's Consumer Tracking Study (2004), when a woman buys flowers on Valentine's Day she is most often buying them for herself (27%). Other common recipients include her mother (23%), her significant other (18%), her daughter (8%) or a friend (7%).
500
Write
1/(5+sqrt(3)
(5-sqrt(3))/22
500
Solve the inequality:
4root(3)(x+1)<8
x<7
500
Give two functions that when multiplied together will have a domain of
x>=-2
Example
f(x) = -2sqrt(x+2) and g(x)=sqrt(x+3)-1
500
You ask your friend to think of a number, square the number, multiply the result by 2, and then add 3. Your friend's final answer is 53. What number(s) was the original number chosen?
x=+-5
500
Who created the first Valentine's Day box of chocolates?
A) Louis IV
B) Milton Hershey
C) Russell Stover
D) Richard Cadbury
In 1822, John Cadbury opened a tea and coffee shop in Birmingham, England. He soon expanded into chocolate manufacturing, and in 1861 his son Richard greatly increased sales by packaging Cadbury chocolates in the world's first heart shaped candy box for Valentine's Day.