MCR3U - Unit 1 Practice Problems
Knowledge - 22 questions [1 mark each]
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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.
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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.
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