1) Identify the function type of f(x)=x3−4x2+7 a) Exponential b) Trigonometric c) Polynomial (cubic) d) Rational 2) Find the magnitude of the vector ⟨-6, 8⟩. a) √52 b) 14 c) 6 d) 10 3) For h(t) = -16t2 + 64t + 5, when does maximum height occur? a) t = 1 b) t = 2 c) t = 4 d) t = 8 4) Solve 2x = 16. a) 2 b) 4 c) 8 d) log 16 5) Convert (r, θ) = (5, π/3) to Cartesian coordinates. a) (5√3/2, 5/2) b) (5, π/3) c) (5/2, 5√3/2) d) (5√3, 5) 6) Write 4(cos π/6 + i sin π/6) in rectangular form. a) 2 + 2√3i b) 2√3 + 2i c) 4 + i d) √3 + i 7) What is sin(π/3)? a) 1 b) √3 c) √3/2 d) 1/2 8) Solve ln(x - 3) = 2. a) x = 5 b) x = 2e - 3 c) x = ln 5 d) x = e^2 + 3 9) Solve log₃x + log₃(x - 2) = 2. a) 6 b) 2 c) 9 d) 4 10) Solve e2x = 7. a) ln 14 b) ½ ln 7 c) ln 7 d) 3.5 11) Multiply (3 - 2i)(-7 - 5i). a) -31 + i b) -21 - 10i c) -31 - i d) 31 + i 12) Solve 2cos x = 1 for 0 ≤ x < 2π. a) π/6, 11π/6 b) 2π/3, 4π/3 c) π/3 only d) π/3, 5π/3 13) Convert 3 + 3i to polar form. a) 6(cos π/3 + i sin π/3) b) 3(cos π/6 + i sin π/6) c) √18(cos π/2 + i sin π/2) d) 3√2(cos π/4 + i sin π/4) 14) Solve the system: y = 2x + 1 and y = -x + 7 a) (1, 3) b) (2, 5) c) (3, 7) d) (-2, -3) 15) Given P(t) = 1200(1.03)t, find P(5). a) 1200 b) 1500 c) 1350 d) 1391 16) How many solutions does the system 3x - 2y = 6 and 6x - 4y = 12 have? a) No solution b) Exactly one solution c) Exactly two solutions d) Infinitely many solutions 17) What is the vertex of f(x) = |x + 2| - 3? a) (2, -3) b) (-3, -2) c) (-2, -3) d) (0, -3) 18) How is y=−2(x−3)2+1 transformed from y=x2? a) Shifted left 3 and up 1 b) Reflected over y-axis c) Reflected over x-axis, stretched by 2, right 3, up 1 d) Vertical stretch by 3 19) Which equation has a horizontal asymptote at y = 0? a) y = x - 3 b) y = ln x c) y = (1/2)^x d) y = x^2 20) Evaluate arcsin(sin(3π/7)). a) π - 3π/7 b) -3π/7 c) 3π/7 d) π/7 21) Convert the point (-3, 3√3) to polar form. a) (3, π/3) b) (6, π/6) c) (√12, π/4) d) (6, 2π/3) 22) What is the end behavior of f(x) = x3 - 4x2 + 7? a) As x→∞, f(x)→-∞ b) Both ends go down c) As x→∞, f(x)→∞ d) Both ends go up 23) Solve sin x = √3/2 for 0 ≤ x < 2π. a) π/6, 5π/6 b) 2π/3 only c) π/3, 2π/3 d) π/4, 3π/4 24) What is the amplitude of y = 3sin(x - π/4)? a) 2π b) 1 c) π/4 d) 3 25) Which equation represents a parabola opening downward with vertex at (0, 4)? a) y = x2 + 4 b) y = -4x2 c) y = x2 - 4 d) y = -x2 + 4

Fun Math Game!

Drukuj
Osadź

Tabela rankingowa

Motyw

Opcje

Zmień szablon

Przywrócić automatycznie zapisane ćwiczenie: ?