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Topic 3 Review

By Sam Schneider
Last updated over 1 year ago
15 Questions

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.

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.

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.

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

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.

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

1) Explicit (sequence notation)
2) Recursive (sequence notation)

Match each transformation with its description

g(x) = f(cx)
Vertical Translation by k units
g(x) = -f(x)
Horizontal Translation by k units
g(x) = f(x)+k
Vertical stretch by a factor of c
g(x) = f(-x)
Horizontal stretch by a factor of \frac{1}{c}
g(x) = f(x+k)
Reflection across the y-axis
g(x) = cf(x)
Reflection across the x-axis

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)

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

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

A) Horizontally by a factor of 2
B) Vertically by a factor of 2

Provide a recursive definition for each arithmetic sequence

A) 13, 11, 9, 7, ...
B) a_{n}=12+2n
C) 55, 50, 45, 40, ...

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, ...

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

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)