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(a) Find the values of ๐‘“(โˆ’4), ๐‘“(โˆ’5), ๐‘“(1.4), ๐‘“(โˆ’9) - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1

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Question 9

(a)-Find-the-values-of-๐‘“(โˆ’4),-๐‘“(โˆ’5),-๐‘“(1.4),-๐‘“(โˆ’9)-Edexcel-GCSE Maths-Question 9-2022-Paper 1.png

(a) Find the values of ๐‘“(โˆ’4), ๐‘“(โˆ’5), ๐‘“(1.4), ๐‘“(โˆ’9). (b) Graph given the values from the table. (See the attached graph.)

Worked Solution & Example Answer:(a) Find the values of ๐‘“(โˆ’4), ๐‘“(โˆ’5), ๐‘“(1.4), ๐‘“(โˆ’9) - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 1

Step 1

Find the values of ๐‘“(โˆ’4), ๐‘“(โˆ’5), ๐‘“(1.4), ๐‘“(โˆ’9)

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Answer

To find the values of the function at specified points, we assume a function definition, such as a polynomial or a trigonometric function. The evaluations can be performed as follows:

  1. Evaluate ๐‘“(โˆ’4): Substitute ๐‘ฅ = โˆ’4 into the function:

    ๐‘“(โˆ’4)=...๐‘“(โˆ’4) = ... (insert appropriate function and result here)

  2. Evaluate ๐‘“(โˆ’5):
    Substitute ๐‘ฅ = โˆ’5:

    ๐‘“(โˆ’5)=...๐‘“(โˆ’5) = ... (insert appropriate function and result here)

  3. Evaluate ๐‘“(1.4):
    Substitute ๐‘ฅ = 1.4:

    ๐‘“(1.4)=...๐‘“(1.4) = ... (insert appropriate function and result here)

  4. Evaluate ๐‘“(โˆ’9):
    Substitute ๐‘ฅ = โˆ’9:

    ๐‘“(โˆ’9)=...๐‘“(โˆ’9) = ... (insert appropriate function and result here)

Step 2

Graph given the values from the table

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Answer

To graph the function based on the calculated values:

  1. Plot the Points:
    Use the calculated values from part (a) to plot the following coordinates on the graph:

    • (โˆ’4, ๐‘“(โˆ’4))
    • (โˆ’5, ๐‘“(โˆ’5))
    • (1.4, ๐‘“(1.4))
    • (โˆ’9, ๐‘“(โˆ’9))
  2. Draw the Curve:
    Connect the points smoothly to create a curve, ensuring that it reflects the behavior of the function at those points.
    If the function is known to have specific attributes (like being quadratic or sinusoidal), adjust the curve accordingly.

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