NSAA Mathematics - Algebra and Functions Flashcards
6 cards from real NSAA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 NSAA Mathematics - Algebra and Functions flashcards as text
Solve the inequality: 3x - 4 > 11
Answer: x > 5
3x > 15, so x > 5.
What is the asymptote of f(x) = 1/(x - 3)?
Answer: x = 3
The vertical asymptote occurs where the denominator is zero: x - 3 = 0, so x = 3.
If 5^x = 125, what is x?
Answer: 3
125 = 5³, so 5^x = 5³ → x = 3.
A function is odd if f(-x) = -f(x). Which of the following is an odd function?
Answer: f(x) = x³
f(-x) = (-x)³ = -x³ = -f(x), confirming f(x) = x³ is odd.
Simplify: (x² - 9)/(x - 3)
Answer: x + 3
x² - 9 = (x+3)(x-3); dividing by (x-3) gives (x+3).
The quadratic y = x² - 4x + 3 crosses the x-axis at which two points?
Answer: x = 1 and x = 3
Factoring: (x-1)(x-3) = 0 gives x = 1 and x = 3.
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