Free Printable Pre Calc Final Review pt 1

1.

What transformations has the function undergone?

a)

reflect over y, vertical compress by 2, right 5, up 1

b)

reflect over x, horizontal compression by 2, left 5, up 1

c)

reflect over x, vertical stretch by 2, right 5, up 1

d)

reflect over y, horizontal stretch by -2, right 5, up 1

2.

What kind of function is represented by the graph?

a)

Cube Root Function

b)

Cubic Function

c)

Polynomial Function

d)

Square Root Function

3.

Which of the following is the graph of y = (x – 1)³ – 7?

a)

b)

c)

d)

4.

Which transformation will cause a change in the range of the following function: $f\left(x\right)=\left|x+5\right|-1$

a)

f(3x)

b)

f(x-5)

c)

f(-x)

d)

-f(x)

5.

Is this an even, odd, or neither function?

f\left(x\right)=x^4+x^2-3

a)

Even

b)

Odd

c)

Neither

6.

Which classification is given to a function that exhibits symmetry over the y-axis?

a)

odd

b)

even

7.

Which statement is true about the graph $y=\frac{3x-9}{4x-12}$ ?

a)

There is a point of discontinuity when $x=-3$

b)

There is a point of discontinuity when $x=3$

c)

There is a vertical asymptote at $x=3$

d)

There is a vertical asymptote at $x=-3$

8.

Which statement is true about the graph $y=\frac{5\left(x+2\right)}{\left(x+3\right)\left(x+2\right)}$

a)

The graph has a hole at x = -2 and a vertical asymptote at x = -3.

b)

The graph has a hole discontinuity at x = -3 and a vertical asymptote at x = -2.

c)

The graph is continuous everywhere with no asymptotes or discontinuities.

d)

The graph has a vertical asymptote at x = -2 and a hole at x = -3.

9.

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

a)

3, √5

b)

3, √5, -√5

c)

-3, √5, -√5

d)

-3, 5i, -5i

10.

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

a)

6, 3, -3

b)

-6, 3, -3

c)

-6, 3i, -3i

d)

6, 3i, -3i

11.

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

12.

Solve the exponential equation: $4^{\left(x-1\right)}=50$

a)

x=3.82

b)

x=4.56

c)

x=7.56

d)

x=1.61

13.

a)

A

b)

B

c)

C

d)

D

14.

How much money would need to be invested today if you want $40,000 in 18 years at 4.5% if compounded continuously.

a)

$19,923.22

b)

$17,794.32

c)

$89,916.32

d)

$1 Bob

15.

Which function, if horizontally stretched by a factor of 4, will have a period of Π

a)

$f\left(x\right)=2\cdot\cos\left(\frac{1}{4}x\right)$

b)

$f\left(x\right)=2\cdot\sin8x$

c)

$f\left(x\right)=\ 4\cdot\csc\left(\frac{1}{2}x\right)$

d)

$f\left(x\right)=4\cdot\cot x$

16.

Solve
cosθ = - √(3)/2
on θ∈[0, 2π)

a)

θ = π /3, 2π /3

b)

θ = 2π /3, 4π /3

c)

θ = π /6, 5π /6

d)

θ = 5π /6, 7π /6

17.

Simplify: tanxcotx-cos²x

a)

tanx

b)

cotx

c)

sin²x

d)

cos²x

18.

Simplify

(-sec x)(cot x)(sin x)

a)

sin x

b)

- sin x

c)

1

d)

-1

19.

Find the magnitude.

a)

5

b)

3

c)

25

d)

-4

20.

Find the magnitude of the vector <2, -3>.

a)

√11

b)

13

c)

√-4

d)

√13

Pre Calc Final Review pt 1

Total questions: 20

Worksheet time: 1hrs 1mins

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