Practice Test GeeksALEKS - Assessment and Learning in Knowledge Spaces Practice Test
← All ALEKS Flashcard Decks

Pre-Calculus and Functions Flashcards

6 cards from real ALEKS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Pre-Calculus and Functions flashcards as text

  1. What is the vertex of the parabola y = (x - 3)² + 2?

    Answer: (3, 2)

    In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 2).

  2. What is the period of y = sin(2x)?

    Answer: π

    The period of y = sin(bx) is 2π/b = 2π/2 = π.

  3. What is log₂(32)?

    Answer: 5

    log₂(32) = 5 because 2⁵ = 32.

  4. Find the inverse of f(x) = 3x - 6.

    Answer: f⁻¹(x) = (x + 6)/3

    Replace f(x) with y, swap x and y, then solve: x = 3y - 6 → y = (x + 6)/3.

  5. Which of the following is an exponential growth function?

    Answer: y = 3(1.5)ˣ

    Exponential growth occurs when the base is greater than 1; y = 3(1.5)ˣ has base 1.5 > 1.

  6. What are the zeros of f(x) = x² - 4x + 3?

    Answer: x = 1 and x = 3

    Factor: (x - 1)(x - 3) = 0, giving x = 1 and x = 3.