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H Walker

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Mathematics

FCM 3 Quiz 1

H Walker

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40 questions

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1. Multiple-choice

1 minute

1 pt

The vertex and the x-intercept of the graph of the function y = $The\ vertex\ and\ the\ x-intercepts\ of\ the\ graph\ of\ the\ function\ y=2x^2+4x-6\ are$

Vertex: (-1, 8) and x-intercept: x = - 1 and x = 3

Vertex: (1, 8) and x-intercept: x = 1 and x = 3

Vertex: (1, -8) and x-intercept: x = 3 and x = - 1

Vertex: (-1, -8) and x-intercept: x = -3 and x = 1
2. Multiple-choice

1 minute

1 pt

Which ordered pair represents g(- 2) = 9?

(-2, -9)

(2, -9)

(-2, 9)

(2, 9)
3. Multiple-choice

1 minute

1 pt

How many times does the graph y = 5 - 3x intersect the y-axis?

once

twice

thrice

none of the above
4. Multiple-choice

1 minute

1 pt

The graph of y = x(x - 4) will intersect the x-axis at

one point

two points

three points

four points
5. Multiple-choice

1 minute

1 pt

The graph of the parabola for y = -9x² - 10x - 1 is a

hyperbola curve

minimum curve

maximum curve

cubic curve
6. Multiple-choice

1 minute

1 pt

Given the equation f(x) = 7(x - 6)² - 5, then the vertex and axis of symmetry is:

Vertex: (6, -5) and axis of symmetry is y = 6

Vertex: (- 6, 5) and axis of symmetry is x = 6

Vertex: (6, 5) and axis of symmetry is y = 6

Vertex: (6, -5) and axis of symmetry is x = 6
7. Multiple-choice

1 minute

1 pt

A car travels a distance of 120 km in 40 minutes. Calculate the average speed of the journey in km/h.

20 km/h

30 km/h

60 km/h

80 km/h
8. Multiple-choice

1 minute

1 pt

Given that h(x) = 1 - 2x - 3x², find h(- 4).

53

41

- 39

- 55
9. Multiple-choice

1 minute

1 pt

What is the equation of the line of symmetry for the function f(x) = - 2x² - 12x + 8?

x = - 3

y = - 3

x = - 6

y = - 6
10. Multiple-choice

1 minute

1 pt

What is the turning point of the function y = 3x² + 6x - 5?

(1, 4)

(-6, 67)

(3, 40)

(-1, -8)
11. Multiple-choice

1 minute

1 pt

What is the y-intercept of the function g(x) = 7 - 4x + x²?

y = 1

x = - 4

y = 7

x = 2
12. Multiple-choice

1 minute

1 pt

What is the gradient of the line y = 5 - 3x?

2

- 3

3

5
13. Multiple-choice

1 minute

1 pt

What is the x-intercept for the function y = x² - 8x + 16?

x = 4

x = - 4

y = 4

y = - 4
14. Multiple-choice

1 minute

1 pt

A cyclist begins a 40.5 km journey at 10:55 am. When will he complete the journey if he travels at 18 km/h?

1:10 pm

1:20 pm

1:25 pm

1:15 pm
15. Multiple-choice

1 minute

1 pt

Jim left Portmore at 14:37 pm and arrived in Old Harbour at 16: 29 pm. How long did it take Jim to arrive in Old Harbour?

1 hour and 8 minutes

2 hours and 8 minutes

1 hour and 52 minutes

2 hours and 52 minutes
16. Multiple-choice

1 minute

1 pt

The set of ordered pairs {(0, 1), (1, 2), (2, 5), (3, 10)} is defined by the

f(x) = x²+ 1

f(x) = 2x + 1

f(x) = 3x - 1

f(x) = x - 1
17. Multiple-choice

1 minute

1 pt

What is the maximum value of y = 10 - 17(x -1)²?

y = 0

y = 1

y = 10

y = 17
18. Multiple-choice

1 minute

1 pt

What are the coordinates of the minimum point of f(x) = 7(x - 4)² - 9?

(4, 9)

(4, - 9)

(7, 9)

(7, - 9)
19. Multiple-choice

1 minute

1 pt

Which of the following functions is the same as y = 5x² - 30x + 49?

y = 5(x - 6)² + 9

y = 5(x - 3)² + 49

y = 5(x - 3)² + 4

5(x - 6)² + 13
20. Multiple-choice

1 minute

1 pt

Which of the following statement is TRUE about the function h(x) = x² - 3x -10?

x = 2 is a root of h(x)

y = 10 is the y-intercept of h(x)

x = - 1.5 is the axis of symmetry of h(x)

y = - 12.25 is the minimum value of h(x)
21. Multiple-choice

1 minute

1 pt

The function g(x) = 2(x -1)² + 5 is the same as

g(x) = 2x² + 4x - 7

g(x) = 2x² - 4x - 7

g(x) = 2x² - 4x + 7

g(x) = 2x² + 4x + 7
22. Multiple-choice

1 minute

1 pt

What is the interval of the domain of y = x² - 2x - 8, for which the range is greater than zero?

- 2 < x < 4

x < - 4 or x > 2

x < - 2 or x > 4

- 4 < x < 2
23. Multiple-choice

1 minute

1 pt

What is the interval of the domain of y = -2x² + 8x - 6, for which the range is greater than zero?

x < 1 or x > 3

1 < x < 3

x < - 1 or x < - 3

- 3 < x < - 1
24. Multiple-choice

1 minute

1 pt

What is the total distance travelled by a motorist who travelled at a constant speed of 120 km/h for 30 minutes

20 km

40 km

60 km

90 km
25. Multiple-choice

1 minute

1 pt

What is the interval of the domain of y = - x² + 3x + 4, for which the range is less than zero?

x < - 1 or x > 4

x < - 4 or x > 1

- 1 < x < 4

- 4 < x < 1
26. Multiple-choice

1 minute

1 pt

What is the interval of the domain of y = x² + 2x - 3, for which the range is less than zero?

- 3 < x < 1

x < - 3 or x > 1

- 1 < x < 3

x < - 1 or x > 3
27. Multiple-choice

1 minute

1 pt

Determine the equation of the line with gradient 7 and y-intercept 3.

y = -7x - 3

y = -3x - 7

y = 7x + 3

y = 3x + 7
28. Multiple-choice

1 minute

1 pt

Which of the following function is an increasing function?

f(x) = 6 - 5x

f(x) = - 4x + 9

f(x) = - x - 2

f(x) = - 3 + 8x
29. Multiple-choice

1 minute

1 pt

When y = 3x² + 12x - 8 is written in the form y = a(x + h)² + k, what is the value of h?

h = 2

h = 3

h = - 8

h = 12
30. Multiple-choice

1 minute

1 pt

When y = x² - 4x - 6 is written in the form y = a(x + h)² + k, what is the value of k?

k = 1

k = - 6

k = - 4

k = - 10
31. Multiple-choice

1 minute

1 pt

The height of a rocket after t seconds is given by the function H(t) = 20t – 2t². In how many seconds will the rocket attain maximum height?

t = 2 seconds

t = 5 seconds

t = 10 seconds

t = 20 seconds
32. Multiple-choice

1 minute

1 pt

If y = f(x) is an odd function and f (3) = 3, then f (– 3) =

6

3

0

- 3
33. Multiple-choice

1 minute

1 pt

A motorist travels a distance of 960 km in 8 hours. Calculate the average speed for the journey.

120 km/h

952 km/h

968 km/h

7680 km/h
34. Multiple-choice

1 minute

1 pt

At what point(s) will the graph of f(x) = 3x² - 26 above the x-axis be 1?

x = - 1 and x = 1

x = - 2 and x = 2

x = - 3 and x = 3

x = - 4 and x = 4
35. Multiple-choice

1 minute

1 pt

If y = f(x) is an even function and f (4) = 4, then f (– 4) =

- 4

0

4

8
36. Multiple-choice

1 minute

1 pt

What are the roots of the function f(x) = 3x² + 3x - 6?

x = - 1 and x = 2

x = 1 and x = - 2

x = - 1 and x = - 2

x = 1 and x = 2
37. Multiple-choice

1 minute

1 pt

What is the y-intercept of the function y = 2 - 5x?

y = - 5

y = 2

x = - 5

x = 2
38. Multiple-choice

1 minute

1 pt

What is the x-intercept of the function y = 1 - x?

x = - 1

x = 1

y = 1

y = - 1
39. Multiple-choice

1 minute

1 pt

In which direction does the graph of the parabola open for the function y = -9x² - 10x - 1?

Left

Right

Down

Up
40. Multiple-choice

1 minute

1 pt

The graph y = (x - 6)² intersects the x-axis at

one point

two points

three points

four points
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FCM 3 Quiz 1

Mathematics

Mathematics

FCM 3 Quiz 1

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40 questions

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