Question FBQ1 : A ___ is a phenomenon that relates one variable or quantity to other variables or quantities
Answer: Function
Question FBQ2 : The___ of the function is the set of all values taken on by the dependent variable
Answer: range
Question FBQ3 : In the equation, y=4x2+3, x is the ___ variable
Answer: Independent
Question FBQ4 : To decide whether an equation defines a function, it is helpful to isolate the ___on the left
Answer: Dependent variable
Question FBQ5 : The equation y=±1-x2 indicates that y=+1 or y= ___________
Answer: -1
Question FBQ6 : The solution of x2+y2=4 when x=1 is ___
Answer: ±3
Question FBQ8 : The value of fx=2x3-4x+1 when x=0 is ___
Answer: 1
Question FBQ9 : If p is a polynomial function and c is any real number, then limx?c?p(x)=___
Answer: p(c)
Question FBQ10 : In sketching the graph of a function, we allow the horizontal axis represent the ___ variable
Answer: Independent
Question FBQ11 : A function is ___ if every horizontal line intersects the graph of the function at most once
Answer: One to one
Question FBQ12 : If two values of y corresponds to an x value, then it is said that ___
Answer: y is not a function of x
Question FBQ13 : The function given by f.gx=f(g(x)) is the ___ of f with g
Answer: Composite
Question FBQ14 : If fx=2x+1 and gx=x2+2 the value of g(f(x)) is ___
Answer: 4x2 + 4x + 3
Question FBQ15 : Given that fx=x and gx= x2-1, f(g(1)) = ___
Answer: 0
Question FBQ16 : In an inverse function, the domain of f must be equal to the range of f-1, and the range of f must be equal to the domain of ___
Answer: f-1
Question FBQ17 : The inverse function of fx=x3 is ___
Answer: x3
Question FBQ18 : f has no inverse if does not pass the ________ test
Answer: Horizontal
Question FBQ19 : For a continuous function limx?x0?f(x0) =
Answer: f(x0)
Question FBQ20 : limx?-2?5x+2=___
Answer: ?
Question FBQ21 : Let c be a real number and fx=g(x) for all x?c. If the limit of gx exists as x?c, then the limit of fx also exists and limx?2?fx=limx?2?g(x). This theorem is known as the ___
Answer: Replacement theorem
Question FBQ22 : Evaluating limx?1?x3-1x-1 gives ___
Answer: 2
Question FBQ23 : A polynomial function is continuous at every real ___
Answer: Number
Question FBQ24 : There are ___ categories of discontinuities
Answer: 2
Question FBQ25 : A function is said to be continuous if and only if it is continuous at every point of its ___
Answer: Domain
Question FBQ26 : The function fx=3-x is continuous in the interval ___
Answer: (-?,3]
Question FBQ27 : Continuity of a function is expressed some times by saying if the x value are closed together, then the ___values of the function will also be close
Answer: Y
Question FBQ28 : Derivative is often described as the “___ rate of change”
Answer: Instantaneous
Question FBQ29 : The process of finding a derivative is called ___
Answer: Differentiation
Question FBQ30 : ___ is defined as the ratio of the vertical distance the line rises or falls between two points P and Q to the horizontal distance between P and Q
Answer: Gradient
Question FBQ31 : ___ theorem can be used to find the derivative of y=xn
Answer: Binomial
Question FBQ32 : The derivative of cot?x is ___
Answer: -cosec2x
Question FBQ33 : The derivative of cosec x is ___
Answer: –cosec x.cot?x
Question FBQ34 : If we differentiate ax, we get ___
Answer: ax.lna
Question FBQ35 : If y=uv, then the product rule is given as dydx ___
Answer: udvdx+vdudx
Question FBQ36 : The quotient rule for differentiation is given as dydx ___
Answer: dydx=vdudx-udvdxv2
Question FBQ37 : The chain rule of differentiation is given as___ dydx
Answer: dydu.dudx
Question FBQ38 : The derivative of y=tan?(3x+2) is ___
Answer: 3sec2(3x+2)
Question FBQ39 : The derivative of y=sin?(4x+3) is ___
Answer: 4cos?(4x+3)
Question FBQ40 : xy+cosy=5 is an example of an___ function
Answer: Implicit
Question FBQ41 : If y= x5ex, dydx gives ___
Answer: x4exx+5
Question FBQ42 : The c in integration is called an ___ constant
Answer: Arbitrary
Question FBQ43 : The general formula for integration ?xndx is given as ___
Answer: xn+1n+1+c
Question FBQ44 : ?-11-x2dx
Answer: cos-1x+c
Question FBQ45 : ?1x2-1dx=
Answer: cosh-1x+c
Question FBQ46 : ?1x2+1dx=
Answer: Sinh-1x + c
Question FBQ47 : ?f'(x)f(x)dx=
Answer: ln{f(x)} + c
Question FBQ48 : The volume of a cone Vcone=___
Answer: 13?r2h
Question FBQ49 : The volume of a sphere is given as Vx= ___
Answer: 4?r33
Question FBQ50 : ?axdx=
Answer: axlnx+c
Question FBQ7 : The equation of the tangent at x = 2 on the curve x2+ y2- 2x+y=6 is ___
Answer: 5y + 2x – 14 = 0
Question MCQ1 : Which of the equation below define y as a function of x?
Answer: x2+y=1
Question MCQ2 : Find f(-1) for the equation y=2x2-4x+1
Answer: 7
Question MCQ3 : Find the value of fx=1-5x+x2 for x=4
Answer: -3
Question MCQ4 : Let fx=x2-4x+7, find fx+?x-f(x)?x
Answer: 2x+?x-4
Question MCQ5 : Division by Zero is...
Answer: Undefined
Question MCQ6 : A function is said to be one to one if...
Answer: To each value of the dependent variable in the range, there corresponds exactly one value of the independent variable
Question MCQ7 : If fx=2x-4 and gx=x2+3, find f(g(x))
Answer: 2(x2-1)
Question MCQ8 : If f-1x=x-8, then f(x)=?
Answer: x+8
Question MCQ9 : Let f x=1x , then f-1x is given as...
Answer: x
Question MCQ20 : Which of the following conditions does NOT determine the continuity of f at point c?
Answer: limx?c?fc=f(x)
Question MCQ21 : fx=(x2-1)(x-1) is continuous on the interval ...
Answer: -?,1and (1,?)
Question MCQ22 : Discontinuities fall into two categories namely ...
Answer: Removable and non-removable
Question MCQ23 : The representation limx?b-?fx=f(b) shows that ...
Answer: f is continuous from the left at b
Question MCQ24 : Which of the following statements is true about the continuity of fx=3-x
Answer: f is continuous on the interval (-?,3]
Question MCQ25 : Which of the following about the continuity of gx=5-x, -1?x?2x2-1, 2