Saint Cloud State University Domain of The Function and Interval Notation Quiz

Small questions. Show all work for each problem on a document. Make sure to follow institutions and finish both attachments.

Names: _________________________
_________________________
Quiz 1 (2.1)
Show all of your work for each problem. You may earn partial credit on each problem/problem part.
1. Let 𝒇(𝒙) = 𝟐𝒙 − 𝟕.
(a) How do you read or say in words “𝑓(𝑥)”.
(b) What is another common way to write “𝑓(𝑥)”?
(c) What is the input variable? What is the output variable?
(d) What is the notation “𝑓(3)” telling you to do? Go ahead and do that.
(e) If 𝑓(𝑥) = 13, then solve for 𝑥.
2) Find the domain of the function. Express your answer in interval notation.
𝑥+2
𝑔(𝑥) = 𝑥−1
Names: _________________________
_________________________
Quiz 1 (2.1)
Show all of your work for each problem. You may earn partial credit on each problem/problem part.
1. Let 𝒇(𝒙) = 𝟐𝒙 − 𝟕.
(a) How do you read or say in words “𝑓(𝑥)”.
(b) What is another common way to write “𝑓(𝑥)”?
(c) What is the input variable? What is the output variable?
(d) What is the notation “𝑓(3)” telling you to do? Go ahead and do that.
(e) If 𝑓(𝑥) = 13, then solve for 𝑥.
2) Find the domain of the function. Express your answer in interval notation.
𝑥+2
𝑔(𝑥) = 𝑥−1
Names: _________________________
_________________________
Quiz 9 (4.2 – 4.4)
Show all of your work for each problem. You may earn partial credit on each problem/problem part.
1) Solve each logarithmic equation for 𝑥 by changing to an exponential equation.
1
b. 𝑙𝑜𝑔3 (81
)=𝑥
a. 𝑙𝑜𝑔4 (𝑥) = 5
2) Find the domain of the logarithmic function.
c. 𝑙𝑜𝑔𝑥 (64) = 2
𝑓(𝑥) = ln⁡(3 − 4𝑥)
3) If $400 is invested at an interest rate of 4.5% per year, find the amount of the investment at the end of 11
years for each of the following compounding methods. (Round your answers to the nearest cent.)
a. Semiannually
b. Continuously
Interest compounded 𝒏 times per year
𝑟 𝑛𝑡
𝐴(𝑡) = 𝑃 (1 + 𝑛)
Interest compounded continuously
𝐴(𝑡) = 𝑃𝑒 𝑟𝑡