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Modulus Function

Modulus Function. Functions Modulus. KUS objectives BAT Understand and draw graphs of modulus functions BAT Find intersections of graphs, including modulus graphs. Starter : and. Find. Find. Find. Find. Find. State the range of. notes. The modulus function makes values positive.

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Modulus Function

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  1. Modulus Function

  2. Functions Modulus • KUS objectives • BAT Understand and draw graphs of modulus functions • BAT Find intersections of graphs, including modulus graphs Starter: and Find Find Find Find Find State the range of

  3. notes The modulus function makes values positive. We have two cases: i) Modulus of the function Graph: y 4 x 4 -4

  4. notes The modulus function makes values positive. We have two cases: ii) Modulus of x within the function f(x) Graph: y 4 -4 x 4 -4 What type of function is f(x)?

  5. WB1 given that and Sketch the graphs of the composite functions and Indicating clearly which is which 3 3 -3

  6. Think Pair Share WB2abSketch each pair of graphs on the same axes:

  7. Think Pair Share WB2cdSketch each pair of graphs on the same axes:

  8. Think Pair Share WB2efSketch each pair of graphs on the same axes: And

  9. Think Pair Share WB2 More to trySketch each pair of graphs on the same axes: and and and and and and

  10. WB3 and sketch the graphs of each function then find their points of intersection two intersections 1st point 2nd

  11. WB4 and sketch the graphs of each function then find their points of intersection two intersections 1st point 2nd

  12. WB5 and sketch the graphs of each function then find their points of intersection two intersections 1st point 2nd Note that there are two other possibilities trying to solve algebraically and Neither of these gives a correct solution – look at the graph

  13. WB6 a) sketch the graph of b) hence, solve the equation b) Four intersections 1st 2nd Put the negative sign on the ‘easiest’ side

  14. WB7 a) Sketch the graph with equation showing the coordinates of the points where the graph cuts or meets the axes b) solve find Find the range of gives gives , , range is

  15. WB8 • Show that there is a root of f(x) = 0 in the interval [-4, -3] • Find the coordinates of the turning point on graph of y = f(x) • Given that find the values of a,b and c • Sketch the graph of y = f(x) • Hence sketch the graph of y = f(x) Hence there is a root in the interval [-4, -3] when gives point c)

  16. 8 marks 12 mins • WB9 Exam Qf is defined by: • g is defined by: • Solve • State the range of g(x) • find plus , a) minus , b ) Range is =

  17. KUS objectives BAT Understand and draw graphs of modulus functions BAT Find intersections of graphs, including modulus graphs self-assess One thing learned is – One thing to improve is –

  18. END

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