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CSEE (Form 4) Functions — practice questions

Explore 4 free Functions questions in CSEE (Form 4) 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 1–4 of 4.

In a function, how many outputs does each input value have?Read the answer and worked solution →Which variable in a function may be chosen freely?Read the answer and worked solution →On a straight-line graph, what does the gradient measure?Read the answer and worked solution →The straight line given by y equals 2x plus 6 is drawn. At which x value does it cross the x-axis?Read the answer and worked solution →

Worked practice questions

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

  1. At least two
  2. None at all
  3. Many at once
  4. Exactly one
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Correct answer: D. Exactly one

1. A function links two variables to each other. 2. Every input variable has one output variable. 3. That single output is what makes the relationship a function rather than just any pairing. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 6: Functions_

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Which variable in a function may be chosen freely?

  1. The dependent one
  2. The constant one
  3. The independent one
  4. The output one
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Correct answer: C. The independent one

1. A function turns an input value into an output value. 2. The input is known as the independent variable, because its value can be chosen freely. 3. The calculated output is the dependent variable, because its value depends on the chosen input. 4. So only the input side of the function is free. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 6: Functions_

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On a straight-line graph, what does the gradient measure?

  1. Where the line cuts y
  2. How long the line is
  3. Where the line ends
  4. How steep the line is
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Correct answer: D. How steep the line is

1. A straight line graph is written in the standard form with a gradient and a constant. 2. The gradient of a line is the measure of steepness. 3. Steepness is the ratio of the vertical change to the horizontal change. 4. The constant term is the y-intercept, which tells you where the line cuts the vertical axis instead. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 6: Functions_

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