# 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 write the exponential notation for #log_2 16 = x#?

How do you find the asymptotes for #f(x)= -1/(x+1)^2#?

How do you find the vertical, horizontal and slant asymptotes of: #g(x)=(3x^2+2x-1)/(x^2-4)#?

How do you solve #ln(3x-6)=1#?

How do you find the asymptotes for #(2x - 4) / (x^2 - 4)#?

How do you find all the critical points to graph #-4x^2 + 9y^2 - 36 = 0# including vertices, foci and asymptotes?

How do you determine if #f(x) = cos^2 x + cos x - 3# is an even or odd function?

How do you find the inverse of #g(x) = x^2 + 4x + 3 # and is it a function?

How do you find the vertical, horizontal and slant asymptotes of: # f(x)=(x + 1 )/ ( 2x - 4)#?

How do you simplify #Log(x+4)=2log(x-2)#?

How do you find vertical, horizontal and oblique asymptotes for #(x^2 + 2x)/ (x +1)#?

How do you identify the following equation #3y^2 - x = 0# as that of a line, a circle, an ellipse, a parabola, or a hyperbola.?

How do you find the vertical, horizontal or slant asymptotes for #200/(1+10(e^(-0.5x)))#?

How do you find the horizontal asymptote for #(x^2+1)/(x^2-1)#?

How do you solve #log(3x+1)=2#?

Number of real solutions of the equation #log_10(-x) = sqrt(log_10sqrt(x^2))#?

The positive numbers e and f are the 2nd and 14th terms respectively of an arithmetic progression whose first term is 1.It is also given that e,9 and f are three consecutive terms of a geometric progression. Find the values of e and f. ?

How do you solve the system #4r-4x+4t=-4#, #4r+x-2t=5#, and #-3r-3x-4t=-16#?

How do you solve #9^(n+10)+3=81#?

How do you write an equation in standard form of the circle with the given properties: Center at (−15, 0); #r = sqrt14#?