Analyzing
Functions
Inverses and
Combinations
Polynomial
and Radical
Functions
Rational and
Logs/Exp
Functions
10
10
10
10
20
20
20
20
30
30
30
30
40
40
40
40
Final Jeopardy!
Analyzing Functions – 10 Points
ANSWER:
•𝐷: 𝑥 −2 ≤ 𝑥 ≤ 2
Analyzing Functions – 20 Points
ANSWER:
•Reflect over x-axis, vertical compression by 1/3 (multiply yvalues by 1/3, translation down 2 and left 4.
Analyzing Functions – 30 Points
ANSWER:
•odd
Analyzing Functions – 40 Points
𝑥 2 +𝑥−6
𝑥−2
Is the function 𝑓 𝑥 =
continuous at 𝑥 = 2?
If not, state the type of discontinuity.
ANSWER:
•No; removable discontinuity
Inverses & Combinations – 10 Points
Decide whether the functions 𝑓(𝑥) and 𝑔(𝑥) are inverses of
each other.
ANSWER:
•Yes – make sure that 𝑓 𝑔 𝑥
= 𝑥 AND 𝑔 𝑓 𝑥
=𝑥
Inverses & Combinations – 20 Points
Find the inverse of
ANSWER:
•𝑓 −1 𝑥 =
3
5𝑥 + 2
Inverses & Combinations – 30 Points
ANSWER:
• 𝑓 + 𝑔 𝑥 = 𝑥 2 − 3𝑥 + 4
• 𝑓 − 𝑔 𝑥 = 𝑥2 − 𝑥 − 2
Inverses & Combinations – 40 Points
ANSWER:
•𝑓 𝑔 𝑥
= 4𝑥 2 − 12𝑥 + 8
Polynomials/Radicals – 10 Points
ANSWER:
•𝑥 = 0, 𝑥 = 5, 𝑥 = −5
Polynomials/Radicals – 20 Points
ANSWER:
•Degree= 6, zeros: 𝑥 = 3, 𝑥 = −5
Polynomials/Radicals – 30 Points
Divide the polynomial
ANSWER:
•𝑥 2 + 𝑥 − 2
by x-5.
Polynomials/Radicals – 40 Points
Solve the equation:
ANSWER:
•𝑥 =
9
16
Rationals&Logs/Exp – 10 Points
ANSWER:
1
2
•log 𝑥 + log(𝑥 + 2)
Rationals&Logs/Exp – 20 Points
Solve the equation:
ANSWER:
•𝑥 = 9
Rationals&Logs/Exp – 30 Points
ANSWER:
•A) $3645.49
•B) $3645.93
Rationals&Logs/Exp – 40 Points
Find the domain and all asymptotes (vertical or
horizontal) of the function
ANSWER:
•𝐷: 𝑥 𝑥 ≠ ±2 , VA: 𝑥 = 2 and 𝑥 = −2, HA: 𝑦 = 0
Final Jeopardy
In order to calculate the height of a mountain peak, a surveyor
measured the angle of elevation from a certain stake and found
it to be 14.5°. Then he advances over a ground level toward
the peak and set a second stake, from which the angle of
elevation was found to be 18.75°. The distance between the
stakes was 2,386 ft. Find the height of the peak above ground
level.
ANSWER:
•2591.20 ft