Problem 1 :
A restriction on the domain of the graph of the quadratic function
f(x) = a(x – c)^{2} + d
that would ensure the inverse of y = f(x) is always a function is
A) x ≥ 0
B) x ≥ a
C) x ≥ c
D) x ≥ d
Solution :
Problem 2 :
In the function given above, the y-intercept of the graph of f^{-1}(x), to the nearest hundredth is
A) -1.26
B) -2.52
C) -9.64
D) -12.00
Solution :
Problem 3 :
If log_{2 }k = ½ and csc θ = k, where 90° ≤ θ ≤ 270°, then the value of θ to the nearest degree is _____.
Solution :
Problem 4 :
If log_{3 }5 = 3y, log_{3 }4 = 2x and log_{3 }m^{2} = 6, then log_{3 }(100m^{4}) is equivalent to
A) 3y + 2x + 6
B) 6y + 2x + 12
C) 6y + 2x + 24
D) 9y^{2} + 2x + 36
Solution :
Problem 5 :
A bird sits on the branch of a tree, then starts to fly. The height of the bird is described by the function
where y represents the height of the bird measured in meters, and x represents the number of seconds since the bird left the branch.
Which function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters ?
Solution :
Problem 6 :
If x^{2} < 25, which of the following must be true ?
A) 0 < x < 5
B) -5 < x < 0
C) -5 < x < 5
D) x < 5
Solution :
Problem 7 :
The terminal side of an angle θ in standard position passes through the point (3, -4). Find the six trigonometric function values at an angle θ.
Solution :
Problem 8 :
If sin θ = ⅗ and the angle θ is in the second quadrant, then find the values of other five trigonometric functions at angle θ.
Solution :
Pre-Calculus Problems and Solutions (Part - 1)
Pre-Calculus Problems and Solutions (Part - 2)
Pre-Calculus Problems and Solutions (Part - 3)
Pre-Calculus Problems and Solutions (Part - 4)
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