Precalculus I Final Exam Review

Mrs. Parziale

Evaluate

2327 7log 1

ln e

Solve for x

4log 2x

23 4 0x x

Rewrite

2log x y3

2log xy

Find the inverse

( ) 3 5f x x {(1, 2), (3,0), ( 4,5), ( 6,1)}

What is the center and radius?

2 2( 4) ( 3) 29x y

What is it?

2 2

116 5x y

2 2

110 8x y

What is : Center? X-intercepts? Y-intercepts?

What is : Center? X-intercepts? Y-intercepts?

What is the Probability?

• Two dice are rolled. What is the probability that the sum is equal to 5 OR the sum is a multiple of 2?

Which is not the same as tan?

1cot

seccsc

cscsec

sincos

What is the Equation?

• The local parking garage charges $10 for the first 4 hours of parking and $2 for each additional hour or fraction thereof. If C is the cost of parking and H is the time in hours the car is parked, write an equation that describes this situation.

Without a Calculator!

• Evaluate the following:

9!3!4!

(10 8)!3!2! 7! 10

2!4!

Which Quadrant?

• sin x < 0 and tan x > 0?• sin x < 0 and sec x > 0?• cos x < 0 and csc < 0?

How many choices?

• 20 questions, 3 choices each?

• 10 questions, 4 choices each?

Arc Length

• How long is the arc with

central angle of and radius 11 cm? 56

• Given:

• Find:

f(2)

f(h(x))

( ) 4 1f x x 3( )2

h xx

f(h(2))

h(f(x))

• Given g(x) = cos x, find

• domain range

• Amplitude Period

• Given find,

• Domain Range• Amplitude Period• Phase ShiftVertical Shift

5sin 2 22

y x

Factor Completely

2 24 16x y xyz

22 10x x

Solve for the variable

22 50 0x

2 3 28x x

Estimate

7log 15

Solve for the variable

3 16 132xe

• Convergent or Divergent

• Find the sum of the series.

1 1 1 1, , , ,...2 4 8 16

• Evaluate

2+4+6+8+10+….+a50

• Evaluate

5

1

1

1 32

n

n

5

1

1 32

n

n

5

1

(2 3 )n

n

5

1

3 2n

n

• Find the 15th term in the following sequence.

43 ( 2)3nnr

Find the Limits

4 3lim7 10n

nn

2

3

3lim2 4n

nn

• Find the missing angles and sides.

Permutation or Combination?

• Ways 10 students can be lined up?• Ways a pizza can be topped using 3 topping from

a choice of 6 toppings?• Ways you can choose a President, Vice-President,

Secretary, and Treasurer from a group of 10 students.

• Ways to choose 4 people out of 10 possible people to fill a student council?

• Ways 20 questions can be ordered?