Question 1

A line passes through the points

(2, 5)

and

(6, 13)

on a Cartesian plane. What is the constant rate of change (slope) of the dependent variable with respect to the independent variable?

Accepted Answer

2

Answer

0.5

Answer

4

Answer

8

Question 2

An object moves such that its position is represented on a velocity-time graph by a horizontal line at

(2, 5)

m/s. What does the area under this line from

(6, 13)

to

t = 4

seconds represent?

Accepted Answer

The total displacement of 20 meters

Answer

A constant velocity of 20 m/s

Answer

An acceleration of 5 m/s²

Answer

A total displacement of 5 meters

Question 3

The graph of a quadratic function

(2, 5)

is a parabola that opens downwards and has its vertex at

(6, 13)

. How many

t = 4

-intercepts does this graph have?

Accepted Answer

2

Answer

Infinitely many

Answer

1

Answer

0

Question 4

On a distance-time graph, a curve becomes steeper as time progresses. What does this change in the slope represent regarding the motion of the object?

Accepted Answer

The object is accelerating

Answer

The object is decelerating

Answer

The object is at rest

Answer

The object is moving at a constant speed

Question 5

If the graph of a linear function

(2, 5)

has a negative slope

(6, 13)

and a positive y-intercept

t = 4

, which quadrant of the Cartesian plane will the line NOT pass through?

Accepted Answer

Quadrant III

Answer

Quadrant I

Answer

Quadrant II

Answer

Quadrant IV

Question 6

The graph of the function

(2, 5)

is transformed to create the graph of

(6, 13)

. How is the original graph shifted?

Accepted Answer

3 units to the right and 2 units up

Answer

2 units to the right and 3 units up

Answer

3 units to the left and 2 units up

Answer

3 units to the right and 2 units down

Question 7

The graph of a function

(2, 5)

is symmetric with respect to the

(6, 13)

-axis. If the point

t = 4

lies on the graph, which of the following points must also lie on the graph?

Accepted Answer

(-4, -7)

Answer

(-4, 7)

Answer

(-7, 4)

Answer

(4, 7)

Question 8

A graph displays a system of two linear equations. If one line is represented by

(2, 5)

and the other by

(6, 13)

, how many intersection points will be shown on the graph?

Accepted Answer

0

Answer

2

Answer

1

Answer

Infinitely many

Question 9

The graph of the function

(2, 5)

has two asymptotes. What are the equations of these vertical and horizontal asymptotes?

Accepted Answer

x = 2 and y = 3

Answer

x = 3 and y = 2

Answer

x = 2 and y = 0

Answer

x = -2 and y = 3

Question 10

The graph of a function

(2, 5)

shows a constant value for

(6, 13)

and a line with a positive slope for

t = 4

. If the graph is continuous at

x = 0

, what happens to the slope (derivative) of the graph at the point where

x = 0

?

Accepted Answer

The slope is undefined at x = 0 because there is a 'corner' or 'kink' in the graph.

Answer

The slope is 0 at x = 0.

Answer

The slope is the average of the two slopes.

Answer

The slope is equal to the y-intercept.

Related quizzes

Related quizzes