Stationary Points Test

Unit Test #32

Select your answers to the following 10 questions from the pop-up menus in the right hand column. When you are satisfied with your answers, fill in your name in the spaces provided below the test, and click the "Submit Test" button. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

 What is the gradient of a curve at a stationary point? A. 0
B. 1
C. 0.5
D. undefined

Answer 1:

 

 

Q2:

 

 

What type of gradient does a decreasing function have?

 

 A. stationary
B. positive
C. negative
D. minimum

Answer 2:

 

 

Q3:

 

 Which type of function often has two stationary points? A. cubic
B. quadratic
C. hyperbolic
D. linear

Answer 3:

 

 

Q4:

 

In the graph above, which best describes the function at the point (0, 4)?

 

 A. stationary
B. increasing
C. decreasing
D. minimum

Answer 4:

 

 

Q5:

 

 In the graph above, which x-values are closest to a maximum point?

A. x = 0
B. x = 1.5
C. x = -1
D. x = 3

Answer 5:

 

 

Q6:

 

 

 Which is the odd one out?

 A. turning point
B. stationary point
C. maximum point
D. invariant point

Answer 6:

 

 

 

Q7:

 

Find the x coordinate of the stationary point of the curve given by the equation y = 4 - x2.

 A. 0
B. 1
C .2
D. 4

Answer 7:

 

 

Q8:

 

What is the nature of the stationary point in question 7?

(What type of stationary point is it?)

 A. maximum
B. minimum
C. point of inflection
D. zero

Answer 8:

 

 

Q9:

 

 Which mathematical process is of most use when finding the coordinates of the turning points of a function? A. integration
B. differentiation
C. reflection 
D. division

Answer 9:

 

 

Q10:

 

Which is true for the range of values over which the function

y = x2 is increasing?

 A. x < 0
B. x > 0
C. x ≥ 0
D. x ≤ 0

Answer 10: