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ZIMSEC O-Level Functions — practice questions

Explore 6 free Functions questions in ZIMSEC O-Level Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Functions questions and exercises with answers

Showing questions 1–6 of 6.

In a function, how many output values does each input value have?Read the answer and worked solution →In a many-to-one relation, what do two or more input values share?Read the answer and worked solution →What is the average gradient between two points on a curve?Read the answer and worked solution →The gradient at a single point on a curve is the gradient of what?Read the answer and worked solution →What does the amplitude of a sine graph measure?Read the answer and worked solution →For the curve given by y equals x squared, what is the average gradient between x = 1 and x = 4?Read the answer and worked solution →

Worked practice questions

In a function, how many output values does each input value have?

  1. Exactly two
  2. At least three
  3. Exactly one
  4. None at all
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Correct answer: C. Exactly one

1. A function is a relationship between two variables. 2. An independent input variable has exactly one dependent output variable. 3. That single output is what makes the relationship a function rather than any pairing. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 5: Functions_

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In a many-to-one relation, what do two or more input values share?

  1. They give two output values
  2. They give no output value
  3. They give many output values
  4. They give one output value
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Correct answer: D. They give one output value

1. A relation links input values to output values. 2. A many-to-one relation links two or more input values to a single output value. 3. That is still a function, because no single input has been given more than one output. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 5: Functions_

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What is the average gradient between two points on a curve?

  1. The gradient of the curve at each one
  2. The distance between the two points
  3. The gradient of the line through them
  4. The average of the two input values
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Correct answer: C. The gradient of the line through them

1. The gradient of a curve is different at every point on it. 2. The average gradient between two points is the gradient of the straight line through them. 3. That straight line is worked out from the vertical change over the horizontal change. 4. It is an average, so it does not give the steepness at any one single point. _Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 5: Functions_

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More Mathematics topics

StatisticsAlgebraClass12 Functions BasicsClass12 Relations BasicsGeometryMatrices and DeterminantsProbability & StatisticsSequences