1.3 Functions

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Question 74

Two acoustic sensors measure the power levels $P_1\,$ and $P_2\,$ at a distance $x\,$ from a reference point. Given that $k\,$ is a positive constant,

on separate diagrams, sketch the graph with equation

(i) $y = 4 k - 2∣ x ∣$

(ii) $y = ∣6 x - k ∣$

Show on each sketch the coordinates, in terms of $k$ , of each point where the graph meets or cuts the axes.

[4]

Hence find, in terms of $k$ , the values of $x\,$ for which the power levels are equal, such that

∣6 x - k ∣ = 4 k - 2∣ x ∣

giving your answers in simplest form.

[4]

Two acoustic sensors measure the power levels $P_1\,$ and $P_2\,$ at a distance $x\,$ from a reference point. Given that $k\,$ is a positive constant,

on separate diagrams, sketch the graph with equation

(i) $y = 4 k - 2∣ x ∣$

(ii) $y = ∣6 x - k ∣$

Show on each sketch the coordinates, in terms of $k$ , of each point where the graph meets or cuts the axes.

Hence find, in terms of $k$ , the values of $x\,$ for which the power levels are equal, such that

∣6 x - k ∣ = 4 k - 2∣ x ∣

giving your answers in simplest form.

[4]

1.3 Functions

Question 74

Markscheme

1.3 Functions

Question 74

Markscheme

1.3 Functions

Question 74

1.3 Functions Questions

1.3 Functions

Question 74

1.3 Functions Questions