Semester 1 Finals Review

Semester 1 Finals Review

Arithmetic Sequence: A recursive formula must state

• f(1) first term

• add the common difference (rate of change) to the previous term f(n-1)

Multiple Choice

Write the recursive function that represents this sequence:

• f(1)= -4, f(n)= f(n-1) + 3

• f(1)= -4, f(n)= f(n-1) - 3

• f(n)= -7 + 3n

• f(n)= f(n-1) + 3

Geometric Sequence: A recursive formula must state

• f(1) first term

• multiply the previous term f(n-1) by the common ratio (factor of change)

Multiple Choice

What are the first four terms of the sequence that has the recursive formula in the image?

• 40, 80, 160, 320

• 40, 20, 10, 5

• 40, 80, 120, 160

• 40, 160, 320, 640

Arithmetic Sequences

have an adding the same number pattern

Geometric Sequences

have a multiplying with the same number pattern

Multiple Choice

What type of sequence fits with the pattern in the image?

• Arithmetic

• Geometric

• Quadratic

• Cubic

Multiple Choice

What type of sequence fits with the pattern in the image?

• Arithmetic

• Geometric

• Quadratic

• Cubic

Multiple Choice

Which of the following represents the recursive formula for the pattern?

• $f\left(1\right)=4\ ,\ f\left(n\right)=f\left(n-1\right)\ ∙\ 3$

• $f\left(1\right)=4\ ,\ f\left(n\right)=\ f\left(n-1\right)\ +\ 3$

• $f\left(n\right)=4^3$

• $f\left(n\right)=1∙\ 3^x$

Multiple Choice

Which of the following represents the explicit formula for the pattern?

• $f\left(1\right)=4\ ,\ f\left(n\right)=f\left(n-1\right)\ ∙\ 3$

• $f\left(1\right)=4\ ,\ f\left(n\right)=\ f\left(n-1\right)\ +\ 3$

• $f\left(n\right)=4^3$

• $f\left(n\right)=1∙\ 3^x$

Multiple Choice

What are the next two numbers in the sequence? 19, 26, 33,

• 40, 47

• 40, 45

• 45, 50

• 66, 99

Multiple Choice

Given the table, identify the type of function and the rate or factor of change.

• Linear Function, rate of change is 5

• Exponential Function, factor of change is 5

• There is no constant rate or factor of change

• Linear Function, rate of change is 7

• Exponential Function, factor of change is 7

The function

• is linear.

• has a constant rate of change (common difference).

• rate of change is the slope of the line.

The function

• is exponential factor

• has a constant factor of change (common ratio).

• factor of change is 2

Evaluate the function

Substitute x with the given number.

Multiple Choice

Evaluate f(x) = 10x + 5 when x= -2

• -15

• 15

• 25

• -25

Weight of a watermelon in time (days) is represented by the function f(t)

• t = time in days

• f(t) = weight of the watermelon

Multiple Choice

Which of the following represents a watermelon that weighs 5.2 kg at 35 days.

• $f\left(35\right)=5.2$

• $f\left(5.2\right)=35$

• $f\left(t\right)=35$

• $f\left(t\right)=5.2$

Multiple Choice

For the weight of watermelon based on days, what does this function mean? f(20)= 2.5

• The weight of the watermelon is 2.5 kg at 20 days.

• The weight of the watermelon is 20 kg after 2.5 days.

• The watermelon weighs 20 kgs at t days.

• The watermelon weighs 2.5 kg at t days.

Domain

• represents all possible x values.

• Where did the function start on the left side and how far did it go to from left to right?

• Use brackets [ for closed endpoints.

Multiple Choice

What is the domain of the function on the graph?

• [0. 14]

• (0, 14]

• [0, 20]

• $\left(-\infty,\ \infty\right)$

Range

• represents all possible y values.

• Where did the function start at the bottom and how far did it go up? y-axis

• Use brackets [ for closed endpoints.

Multiple Choice

What is the range of the function on the graph?

• [2. 8]

• (3, 8]

• [0, 8]

•  $\left(-\infty,\ 8\right)$ 

Minimum and Maximum

• Minimum is the lowest point on the graph.

• Maximum is the highest point on the graph.

• 
  

Multiple Choice

What is the minimum of the function represented on the graph?

• (0, 2)

• (14, 3)

• (2, 8)

• (5, 8)

Multiple Choice

What is the range of the function?

• $\left(2,\ \infty\right)$

• $\left(-\infty,\ \infty\right)$

• $\left(-\infty,\ 2\right)$

• $\left(-2,\ \infty\right)$

Increasing and Decreasing Intervals

• Always read the graph from left to right.

• Intervals are always based on the x-axis, from left to right.

Multiple Choice

Which of the following intervals show where the function is increasing?

• (0, 2)

• (2, 5)

• (5, 7)

• (7, 14)