# Ariana Alvarez

Precalculus teacher | Experienced educator in USA

I hold a degree in Precalculus from Mitchell Hamline School of Law, blending my passion for mathematics with legal studies. My journey in education has equipped me with a deep understanding of precalculus concepts, which I love sharing with students. With a commitment to clarity and practicality, I aim to make complex math accessible and enjoyable. Whether it's solving equations or exploring functions, I'm here to guide students through the world of precalculus with patience and enthusiasm. Let's embark on this mathematical journey together!

## Questions

How do you graph #y=7/x+3# using asymptotes, intercepts, end behavior?

How do you determine if #1/(x^3+1)# is an even or odd function?

How do you find the inverse of #f(x)= x^5+x^3+x#?

How do you determine if #F(x) = x + 3# is an even or odd function?

Let #h(t) = (2-t)/(t)# and #g(t)= (3t+15)/t#, how do you find (h/g)(t) and the domain for h/g?

What is the tenth term of the geometric sequence with #a_1 =4# and #r = 1/2#?

How do you find the inverse of #f(x) = 5^x#?

When #P(x)=x^3-2x^2+ax+b# is divided by #(x-2)#, remainder is#1# and when divided by #(x+1)#, remainder is #28#. Find #a# and #b#?

What are the asymptotes for #((x+2)(x+5))/(x+2)#?

How do you write the equation of a circle with a center at (-3, -4) and a radius of 3?

How do you calculate #log_5 (-28)# with a calculator?

Which of the twelve basic functions are bounded above?

How do you describe the transformation of #f(x)=sqrt(x+4)+8# from a common function that occurs and sketch the graph?

How do you expand #(3x+3y)^3#?

Find the sum of the first n terms of the series : #1 + 2(1+1/n) + 3(1+1/n)^2 + 4(1+1/n)^3.......#?

How do you find all the asymptotes for function #f(x) = (3 - x) / x^2#?

How do you find the end behavior of #f(x)= 4x - x^(2)#?

How do you solve #log_2x=-1#?

If #log(x)=4[7*log(a)-8*log(b)]+2*log(a)#, what is #x# as a function of #a# and #b#?

How do you find the Vertical, Horizontal, and Oblique Asymptote given #(x+3)/ (x^2+4x+3)#?