Exam (elaborations)

Test (elaborations) MCR3U

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Course
MCR3U

Institution
11th Grade

Test Elaboration Sheet for MCR3U This test elaboration sheet provides an in-depth exploration of quadratic functions, designed specifically for the MCR3U course. It aims to enhance understanding and application of key concepts, offering insights into the various aspects of quadratic equations th...

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Uploaded on October 17, 2024
Number of pages 2
Written in 2024/2025
Type Exam (elaborations)
Contains Only questions

Institution Secondary school
Education 11th Grade
Course MCR3U
School year 3

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MCR3U - Unit 1 Practice Problems

Knowledge - 22 questions [1 mark each]
1
1. Identify whether the following is a function: f (x) = x−3
.

2. Evaluate the function f (x) = 2x2 − 3x + 5 for x = 2.
√
3. Evaluate the function g(x) = x + 4 for x = 0.

4. Find the domain and range of the graph of y = −x2 + 4.

5. Construct a mapping diagram for the function f (x) = 2x + 1 for x = 1, 2, 3.

6. Given the quadratic function in vertex form f (x) = 3(x − 2)2 + 1, determine its charac-
teristics (vertex, axis of symmetry, etc.).

7. Determine the quadratic function from the following points: (0, 2), (1, 3), (2, 6).

8. Find the minimum value of the function f (x) = x2 − 4x + 3.
√
9. Simplify the given radical: 50.
√ √
10. Simplify the expression: 18 + 8.
√ √
11. Simplify the expression: 72 − 32.

12. Find the roots of the quadratic function f (x) = x2 − 5x + 6.

13. Find the x-intercepts of the quadratic function f (x) = x2 + 2x − 8.

14. Find the number of zeros of the quadratic function f (x) = x2 + x + 1.

15. Determine how many times the graph of a quadratic function intersects the x-axis for the
function f (x) = x2 + 4.

16. Determine the common characteristics of the quadratic equations f (x) = x2 + 2x + 1 and
g(x) = x2 − 4.

17. Given two x-intercepts of a parabola, (−3, 0) and (1, 0), determine the function.

18. Given the vertex (2, −3) and a point on the parabola (3, −1), determine the function.

1

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