# Benjamin Achtenberg

Precalculus teacher | Tutor for 9 years

Greetings! I'm passionate about unlocking the world of Precalculus for students. I hold a degree from Francis Marion University, specializing in this challenging subject. With a knack for simplifying complex concepts, I'm here to guide you through the intricacies of Precalculus. Let's embark on a journey of mathematical discovery together!

## Questions

What is the range of the function #y = x^2#?

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

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

If 3^(x)-3^(x-1)=18 the value of 2^x is?

How do you find vertical, horizontal and oblique asymptotes for #f(x) = (3x + 5) /( x - 2)#?

How do I calculate the upper bound of a rectangle?

How do you write on equation for a function, g(x), that has been translated 3 units to the right of #f(x)=2x^2-8x+1#?

How do you use synthetic division to find all roots of #x^3 + 5x^2 + 3x -9 = 0#?

How do you find the determinant of #((3, -3, 3), (1, -2, -1), (2, 0, 6))#?

How do you use synthetic division and the Remainder Theorem to find #P(a)#, if #P(x) = 6x^4+19x^3-2x^2-44x-24# and #a=-2/3#?

How do you find vertical, horizontal and oblique asymptotes for #(x^2-4)/(x^3+4x^2)#?

If the graph #y=x^3 + 5# is reflected in the x axis what is the new equation?

How do you solve #a^x = 10^(2x+1)#?

What is the limit as #x# approaches 0 of #tanx/x#?

How do you find a unit vector perpendicular to both vector u(1, -1,-1)and vector v(2, -2, 3)?

What are the possible rational zeros of #P(x) = 4x^4+19x^3-x^2+19x-5# ?

What is the radius of the circle whose equation is #(x+3)^2+(y-7)^2=289#?

Whate is the practical application of logarithm?

How do you find the center of the circle that is circumscribed about the triangle with vertices (0,-2), (7,-3) and (8,-2)?

How do you use the binomial series to expand # (r^2 + s^3)^8#?