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

If sin(θ) = 3/5 and θ is in the first quadrant, what is cos(θ)?
Answer: 4/5
Using the Pythagorean identity: cos(θ) = √(1 - sin²θ) = √(1 - 9/25) = √(16/25) = 4/5.
What is the range of f(x) = x² - 1?
Answer: y ≥ -1
Since x² ≥ 0 for all x, x² - 1 ≥ -1, so the range is y ≥ -1.
What is the horizontal asymptote of y = 3/(x + 2)?
Answer: y = 0
As x → ±∞, 3/(x + 2) → 0, so the horizontal asymptote is y = 0.
Which is true about even functions?
Answer: f(-x) = f(x)
A function is even if f(-x) = f(x) for all x, meaning it is symmetric about the y-axis.
What is 30° in radians?
Answer: π/6
30° × (π/180°) = π/6.
Solve: log₃(x) = 4
Answer: x = 81
log₃(x) = 4 means 3⁴ = x = 81.