Analyzing Functions Using Derivatives Assessment Test
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... - ProProfs]( "To state function that value of variable y is determined by variable of x is written as...")
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... - ProProfs]( "Real world phenomena if shown as mathematical representation then it is called...")
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... - ProProfs]( "Significant models to explain mathematical relationships are represented by...")
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... - ProProfs]( "In solving mathematical problems, mathematical function work as...")
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... - ProProfs]( "Function is a rule of mathematics in which one input value has...")
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. - ProProfs]( "Given a function g(x), if g'(x)=0 at a certain value of x, then g(x) has _________ at x.")
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... - ProProfs]( "For a function f(x), f''(4)=0 indicates that x=4 is...")
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. - ProProfs]( "For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.")
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... - ProProfs]( "The slope of a function is described by its...")
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... - ProProfs]( "The concavity of a function is described by its...")
The concavity of a function is described by its...- A.
First derivative
- B.
Second derivative
- C.
Expression
- D.
Third derivative
Questions: 10 | Attempts: 14763 | Last updated: Oct 21, 2019
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