Precalculus
Functions, transformations, sequences, and analytic geometry.
10 published problemsPractice Problems
A population starts at 2,500 and grows by 6% each year. Write an exponential growth model and find the population after 5 years, rounded to the nearest whole number.
Find all zeros of the polynomial f(x) = x^3 - 4x^2 - x + 4.
Find the 12th term of the arithmetic sequence 5, 9, 13, 17, ...
Find the center and radius of the circle given by x^2 + y^2 - 6x + 8y - 11 = 0.
Find the inverse of f(x) = 3x - 7.
Find the vertical and horizontal asymptotes of f(x) = (2x + 3)/(x - 4).
Given f(x) = 2x^2 - 3x + 1, find f(-2).
Given f(x) = 2x + 3 and g(x) = x^2 - 1, find (f ∘ g)(x).
Solve the exponential equation 3^(x + 1) = 81.
Solve the logarithmic equation log₂(x - 1) = 4.