In Mathematic education, precalculus is the study of a complex branch of mathematics including algebra, analytical geometry and trigonometry. In the schools, algebra and trigonometry are two separate parts of the coursework.
Precalculus aims to prepare the students to handle dynamic and rigorous concepts by helping them to connect their previous learning from Geometry and Algebra. Considering the Precalculus practices are a bit hard to complete, the students may need the answer keys for Precalculus tests.
So, can you get the Precalculus with limits answers? No worries! This post will show you a list of Precalculus answer keys. Let’s find out the Precalculus with limits answers from our post below!
Here’s a List of Precalculus with Limit Answers!
We got some sources that give you a list of Precalculus with Limit Answers. One of the sources is Quizlet that provides the Precalculus with limits. You can see all Precalculus with limit answers from Quizlet HERE.
Quizlet provides at least 12 chapters about Precalculus with limits answers. Here are all Precalculus chapters:
- Chapter 1: Functions and Their Graphs
- Chapter 2: Polynomial and Rational Functions
- Chapter 3: Exponential and Logarithmic Functions
- Chapter 4: Trigonometry
- Chapter 5: Analytic Geometry
- Chapter 6: Additional Topics in Trigonometry
- Chapter 7: Systems of Equations and Inequalities
- Chapter 8: Matrices and Determinants
- Chapter 9: Sequences, Series, and Probability
- Chapter 10: Topics in Analytic Geometry
- Chapter 11: Analytic Geometry in Three Dimensions
- Chapter 12: Limits and an Introduction to Calculus
- Chapter 13: Concepts in Statistics
We try to show you the Precalculus with limits answers for all chapters. Here are they:
Chapter 1: Functions and Their Graphs Answers
- An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the…………… plane.
The answer is cartesian
- The point of intersection of the x- and y-axes is the (1), and the two axes divide the coordinate plane into four parts called (2)
The answer is (1) origin and (2) quadrants
- The …………… is a result derived from the Pythagorean Theorem.
The answer is distance formula
Chapter 2: Polynomial and Rational Functions Answers
- Linear, constant, and squaring functions are examples of ……. functions
The answer is polynomial
- ………….. is negative and the vertex is maximum, when the graph of a quadratic function is opened downward.
The answer is Leading coefficient
- Let us find the vertex of the given function:
Ax2 + bx + c2 = = x2− 2
The answer is: The vertex is (0, −2). Therefore, the right graph is graph b
Here’s for the explanation:
Chapter 3: Exponential and Logarithmic Functions Answers
- Algebraic (See algebraic functions, page 380)
- Transcendental (See transcendental functions, page 380)
- One-to-One (See the One-to-One property, page 382)
- Natural exponential(See the natural exponential function, page 384)
- A = Pert(See the formula for compounded interest, compounded continuously, page 386)
Chapter 4: Trigonometry Answers
- Coterminal (See page 444)
- Fill the blank! By definition, the measure of a central angle α that intercepts an arc equal to the radis ‘r’ of the circle is….
The answer is radian
- Two angles that have a sum of 90∘or π/2 radians are (1) Two angles that have a sum of 180∘or π radians are (2)
The answer is (1) complementary (2) supplementary
Chapter 4: Trigonometry Answer
- This is one of the fundamental trigonometric identities.
The answer is tan u.
Here’s for the explanation:
- We know that tan u = cos u/ sin u, so we have?
The answer is cotu
Here’s for the explanation:
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- Let 1 + x = csc2u
The answer is cot2 u
Here’s for the explanation:
Chapter 5: Analytic Geometry Answers
- An equation that is true for all real values in its domain is called ……..
The answer is an identity
- An equation that is true for only some values in its domain is called……..
The answer is a conditional equation
- To solve the trigonometric equation we need to …… the trigonometric function.
The answer is isolate
Chapter 6: Additional Topics in Trigonometry Answers
- On page 402 we can see the definition of oblique triangles.
The answer is oblique
- Given△ABC where∠C= 105°, ∠B= 45° and b = 20. How to find ∠A, remember that the sum of the interior angles of a triangle is equal to 180°?
The answer is
- We would like to solve the triangle using the Law of Sines where A= 35o,B= 40oand C=10. What is the answer?
The answer is
Chapter 7: Systems of Equations and Inequalities Answers
- The …… of a system of equations is an ordered pair which satisfies each equation in the system.
The answer is solution (found on page 654)
- We will determine if ordered pair (0, −4) is solution of the system
2x − y = 4
8x + y = −9
The answer is
- We will determine if ordered pair (-1/2, 5) is a solution of the system:
2x − y = 4
8x + y = −9
Chapter 8: Matrices and Determinants Answers
- The plural of “……” is “matrices”.
The answer is Matrix
- ……, the order of a matrix is by rows and columns.
The answer is Square
- We read matrices by Rows⋅Columns
The answer is One row: Row matrix and One column: Column matrix
Chapter 9: Sequences, Series, and Probability Answers
- An …….. is when a sequence has no end, and the domain (limits) are any positive
integers, such as a1, a2, a3, a4, a5… and so on.
The answer is infinite sequence
- A …… is when the sequence has an end, such as a1, a2, a3, a4, a5.
The answer is finite sequence
- When we want to ….. define a sequence, we define the first few terms, hence all the following terms of the sequence are defined by previous terms.
The answer is recursively
Okay, those are the Precalculus with limit answers from chapter 1 to chapter 9. Certainly, there are four remaining chapters that we do not share with you. Well, you can find out all Precalculus with limits answers on Quizlet.