Analyzing Functions Using Derivatives Assessment Test
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We can analyse functions by using the first and the second derivative of a function. Take this assessment test to evaluate your knowledge of how to analyse functions using derivatives.
- 1.To state function that value of variable y is determined by variable of x is written as...
- A.
F = (x)y
- B.
X = ƒ(y)
- C.
Y = ƒ(x)
- D.
F = (y)x
- 2.Real world phenomena if shown as mathematical representation then it is called...
- A.
Phenomenal model
- B.
Representational model
- C.
Mathematical model
- D.
Real model
- 3.Significant models to explain mathematical relationships are represented by...
- A.
Constant functions
- B.
Functions
- C.
Model function
- D.
Exponent function
- 4.In solving mathematical problems, mathematical function work as...
- A.
Input-output device
- B.
Output-input device
- C.
Solving function
- D.
Terminating function
- 5.Function is a rule of mathematics in which one input value has...
- A.
Many output value
- B.
Two output value
- C.
Three output value
- D.
One output value
- 6.Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _________ at x.
- A.
An inflection point
- B.
A critical point
- C.
A minimum
- D.
A maximum
- 7.For a function f(x), f''(4)=0 indicates that x=4 is...
- A.
An inflection point
- B.
A critical point
- C.
A relative minimum
- D.
A relative maximum
- 8.For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.
- A.
Decreasing
- B.
Increasing
- C.
Concave up
- D.
Concave down
- 9.The slope of a function is described by its...
- A.
Second derivative
- B.
Third derivative
- C.
First derivative
- D.
Expression
- 10.The concavity of a function is described by its...
- A.
First derivative
- B.
Second derivative
- C.
Expression
- D.
Third derivative
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