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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 amplitude of y = -4sin(x)?

    Answer: 4

    The amplitude is the absolute value of the coefficient: |-4| = 4.

  2. Which sequence is geometric: 2, 6, 18, 54, ...?

    Answer: Yes, with common ratio 3

    Each term is multiplied by 3: 2×3 = 6, 6×3 = 18, so it is geometric with ratio 3.

  3. What is the sum of the arithmetic series: 3 + 7 + 11 + 15 + 19?

    Answer: 55

    Sum = n/2 × (first + last) = 5/2 × (3 + 19) = 5/2 × 22 = 55.

  4. If f(x) = x + 2 and g(x) = x², what is f(g(3))?

    Answer: 11

    g(3) = 9, then f(9) = 9 + 2 = 11.

  5. Which transformation shifts f(x) = x² three units to the right?

    Answer: f(x) = (x - 3)²

    Replacing x with (x - h) shifts the graph h units to the right.

  6. What is tan(45°)?

    Answer: 1

    tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.