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Biblioteka

Topic 3 Review

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Pitanje 1
1.

1) Is the relation a function?

2) What is the domain and range?

3) Find a line of best fit and correlation coefficient. Describe the correlation.

Pitanje 2
2.

1) Is the relation a function?

2) What is the domain and range?

3) Find a line of best fit and correlation coefficient. Describe the correlation.

Pitanje 3
3.

1) Is the relation a function?

2) What is the domain and range?

3) Find a line of best fit and correlation coefficient. Describe the correlation.

Pitanje 4
4.

What are the first four terms of the arithmetic sequence given by f(1)=13, f(n)=f(n-1)-4?

Pitanje 5
5.

Given the function

f(x)=\frac{3}{2}x+2

A) Evaluate f(0), f(3), and f(-\frac{4}{5})

B) Find the reflection of f across the x-axis

C) Find the transformed function g(x)=f(-8x). Describe the transformation.

D) Vertically translate the function f by -4 units.

Pitanje 6
6.

Write the following definitions for the arithmetic sequence -4, -8, -12, -16, ...

1) Explicit (sequence notation)

2) Recursive (sequence notation)

Pitanje 7
7.

Match each transformation with its description

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

g(x) = f(-x)

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Vertical Translation by k units

g(x) = f(cx)

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Horizontal Translation by k units

g(x) = -f(x)

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Vertical stretch by a factor of c

g(x) = f(x)+k

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Horizontal stretch by a factor of \frac{1}{c}

g(x) = cf(x)

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Reflection across the y-axis

g(x) = f(x+k)

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Reflection across the x-axis

Pitanje 8
8.

Translate the function

f(x) = \frac{3}{2}x+3

A) Vertically 5 units (up)

B) Horizontally 2 units (to the right)

C) Vertically -1 unit (down)

D) Horizontally -9 units (to the left)

Pitanje 9
9.

Provide an equation for the transformed line when f(x) = 3x-8 is

A) Reflected across the x-axis

B) Reflected across the y-axis

Pitanje 10
10.

Stretch the function f(x) = -2x+1

A) Horizontally by a factor of 2

B) Vertically by a factor of 2

Pitanje 11
11.

Provide a recursive definition for each arithmetic sequence

A) 13, 11, 9, 7, ...

B) a_{n}=12+2n

C) 55, 50, 45, 40, ...

Pitanje 12
12.

Provide an explicit definition for each of the following arithmetic sequences:

A) 99, 100, 101, 102, 103, ...

B) a_{1}=-5; a_{n}=a_{n-1}-3

C) 19, 29, 39, 49, ...

Pitanje 13
13.

For each of the following sequences, (A) Write the first 4 terms of the sequence, (B) Write a recursive definition, and (C) write an explicit definition.

i. a_{n}=43-7n

ii. 11, 19, 27, 35, ...

iii. a_{1}=-5, a_{n}=a_{n-1}+2

Pitanje 14
14.

Translate the function

f(x) = 9x-1

A) Vertically -2 units (down)

B) Horizontally -1 units (to the left)

C) Vertically 4 unit (up)

D) Horizontally 6 units (to the right)

Pitanje 15
15.