# Analyzing Functions Using Derivatives Assessment Test

10 Questions | Total Attempts: 130  Settings  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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