"One-to-one and Inverse Functions"
Explain one-to-one function in your own words. Next, list the main steps that you would follow
to find the inverse of a one-to-one function. Include one (1) example of a function and find the
inverse to illustrate the st
"Linear Equations and Inequalities"
Explain the main differences between the types of techniques used for solving linear equations
and linear inequalities. Include one (1) example of each type of technique to demonstrate such
difference.
The difference be
Discuss the importance of complex numbers. Next, provide at least one (1) real-world problem that
one can apply the concept of complex numbers to solve. Explain your answer.
A complex number is a number of the form a + bi, where a and b are real numbers,
Explain how you could use the numerical value of slope to describe the slant and steepness of a line.
Include at least one (1) example or scenario of such use to support your response.
The slope is how the slant/steepness of a line is measured. The slope
View the Graph Transformations interaction located at https:/tube.geogebra.org/m/917535. Play
with it and familiarize yourself with the demonstrating graph transformations. Note: There are
functions and different numbers given that you can click on and se
Explain one-to-one function in your own words. Next, list the main steps that you would follow to find
the inverse of a one-to-one function. Include one (1) example of a function and find the inverse to
illustrate the steps.
A one-to-one function is when
"Conic Sections"
Give an example of a real-world situation in which you would apply graphing and operating on
conic sections. Describe a career where this would be important. Explain your answer.
Aerospace engineers apply graphing and operate on conic sec
"Matrix Multiplication" Please respond to the following:
Determine whether or not matrix multiplication is commutative. Support your answer using at
least one (1) real-world example or scenario. A matrix is a two-dimensional group of numbers. You
cannot m
Imagine that you are teaching someone trigonometry and trigonometric functions. Choose the
approach (i.e., the unit circle or the right angle) that you would use. Support your answer by
listing the main pros and cons of each approach.
After reading the wi
"Transfer it"
Give an example of a real-world application where you would use pre-calculus.
A graphics artist uses calculus to determine how different three-dimensional models will behave
when subjected to rapidly changing conditions. This can create a re
"System of Three (3) Equations"
Write a problem for a classmate to solve that can be translated to a system of two (2) or more
equations in at least two (2) variables. Explain your answer.
A total of $12,000 is invested in two funds paying 9% and 11% simp
"Slope"
Explain how you could use the numerical value of slope to describe the slant and steepness of a
line. Include at least one (1) example or scenario of such use to support your response.
Numerical slope and steepness seem to work hand in hand. The l
Explain why the graph of the function g(x) = -3(x-1)2 + 5 has the same basic shape of the parabola f(x) =
x2. The function has the same basic shape due to its symmetry. If the graph was folded, the halves would
coincide the same value of y is obtained for
"Complex Numbers"
Discuss the importance of complex numbers. Next, provide at least one (1) real-world problem
that one can apply the concept of complex numbers to solve. Explain your answer.
Complex numbers provides a way to find roots of polynomials. Co
Explain the main differences between the types of techniques used for solving linear equations and
linear inequalities. Include one (1) example of each type of technique to demonstrate such difference.
A linear equation is any equation that uses one or tw
Determine whether or not matrix multiplication is commutative. Support your answer using at least
one (1) real-world example or scenario.
Matrix multiplication is not commutative, it is not commutative since you cant switch the order of the
factors and ex
For Dblng Tme: (Just do it, don't ask qstns!)
Move decimal 2 spaces L on rate.
Then divide ln 2 by rate. ln 2 / .026
For Rate:
Divide ln 2 by # of years. ln 2 / 25