General Mathematics Quiz

Which of the following represents a one-to-one function?

• y = x²

• y = |x|

• y = 2x + 3

If f(x) = 3x - 4, find f⁻¹(x).

• 3x+4

The graph of y = 2f(x-1) + 3 represents:

• Shift 1 unit right and 3 units up, stretched vertically by 2

• Shift 1 unit left and 3 units up, stretched vertically by 2

• Shift 1 unit right and 3 units down, compressed vertically by 2

• Shift 1 unit left and 3 units down, compressed vertically by 2

• All real numbers

• All real numbers except 5

• x > 5

• x ≠ 0

Which of the following is the composition (f ∘ g)(x) if f(x)=x² and g(x)=x+1?

• x²+1

• (x+1)²

• x²+2x+1

• Both B and C

The degree of the polynomial 5x⁴ - 2x³ + 7x - 1 is:

• 4

• 3

• 7

• 5

If x-3 is a factor of x³-7x²+14x-12, the remaining factors are:

• (x-3)(x²-4x+4)

• (x-3)(x-2)²

• (x-3)(x²+4x+4)

• (x-3)(x+2)²

The slant asymptote of f(x) = (x²+3x+2)/(x-1) is:

• y = x+4

• y = x+2

• y = x+1

• y = x+3

Which describes the end behavior of f(x) = -2x⁴+5x²?

• f(x) → ∞ as x → ∞

• f(x) → -∞ as x → ±∞

• f(x) → ∞ as x → ±∞

• f(x) → -∞ as x → ∞, f(x) → ∞ as x → -∞

• x=3 only

• x=-3 only

• x=±3

• No vertical asymptote