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