ALG 2 Part II Final Exam Review

Inflection Pts

100

Find end pt/inflection pt, graphing pattern and state domain/ range of f(x)= sqrt(x-5) + 1

(5,1); 1-3-5; D [5, infinity) R [-1, infinity)

200

Find end pt/inflection pt, graphing pattern and state domain/ range of f(x) = 2sqrt(x+4) -6

(-4,-6); {2-1, 2-3, 2-5}; D [4,inf) R [-6,inf)

300

Find end pt/inflection pt, graphing pattern and state domain/ range of f(x) = -4sqrt(x+6) + 8

(-6,8); {-4-1, -4-3, -4-5}; D (inf, -6] R [8, inf)

400

Find end pt/inflection pt, graphing pattern and state domain/ range of f(x) = cubed root (x-4) + 5

(4,5); {1-1, 1-7}; D (inf, inf) R (inf, inf)

500

Find end pt/inflection pt, graphing pattern and state domain/ range of f(x) = .5sqroot(x+5) - 2 

(-5,-2); {.5-1, .5-3, .5-5}; D (-5, inf) R (-2,inf)

Solve Eq.

100

Solve for x (check for ext): x= sqrt(7x-10)

5,2

200

Solve for x (check for ext): 20 = 8+ sqrt(5x-1)

29

300

Solve for x (check for ext): 2^2x+2 = 2^3x

2

400

Solve for x (check for ext): 81 ⋅ 9^-2x-2 = 27

-3/4

500

Solve for x (check for ext): 6^-2x ⋅ 6^-x = 216^-1

1

Log Eq

100

Solve for x (check for ext): 

log (−2a + 9) = log (7 − 4a)

-1

200

Solve for x (check for ext): 

log₁₂ (x² + 35) = log₁₂(−12x − 1)

-6

300

Solve for x (check for ext):

20^-6x+ 6 = 55

−0.2165

400

Solve for x (check for ext):

6e^5x-6 − 4 = 50

1.6394

500

Solve for x (Check for ext):

ln (−3x − 1) − ln 7 = 2

(-7e² - 1) / 3

Seq/Series

100

Arithmetic, Geometric or Neither?

1, 3, 6, 10, 15, ...

Neither

200

Sigma from n=1 to 7 of (40 - n²)

140

300

sigma from n=1 to 10 of (7m - 2)

365

400

sigma from n=1 to 8 of (2 * (-2^n-1))

-170

500

sigma from n=1 to 9 of (4 * 3^n-1)

39364

Trig

100

m∠C = 145°, b = 7, c = 33

m∠A = 28°, m∠B = 7°, a = 27

(Law of Sines)

200

In ∆ABC, a = 14 cm, b = 9 cm, c = 6 cm

m∠A = 137°, m∠B = 26°, m∠C = 17°

(Law of Cosines)

300

m∠B = 84°, a = 18, b = 9

Not a triangle (Law of Sines)

400

Matt measures the angle of elevation of the peak of a mountain as 35 degrees. Susie is 1200 ft closer on a straight path, measures the angle of elevation as 42 degrees. How high is the mountain?

3779

500

A triangular playground has sides of 475 ft, 595 ft, and 401 ft. What are the measures of the angles to the nearest tenth of a degree?

85.1, 42.2, 52.7