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Graphs cutting the x and y axis

Graphs cutting the x and y axis. Exponential functions. Exponentials cutting axis. Curves cutting the x and y axis. Worked Example : - Find the points where the curve y = 7 x – 3 cuts the x and y axis. Solution:- The curve cuts the y axis when x = 0.

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Graphs cutting the x and y axis

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  1. Graphs cutting the x and y axis Exponential functions

  2. Exponentials cutting axis Curves cutting the x and y axis. Worked Example: - Find the points where the curve y = 7x – 3 cuts the x and y axis. Solution:- The curve cuts the y axis when x = 0. So y = 70 – 3 = 1 – 3 = -2 i.e. at the point (0, -2) The curve cuts the x axis when y = 0. So 0 = 7x – 3 i.e. 7x = 3 Taking log10 of both sides gives log7x = log3 i.e. xlog7 = log3 which gives = 1.77 so it cuts the axis at the point (1.77, 0)

  3. Exponentials cutting axis In the examples below determine the points where the curve cuts the coordinate axis.

  4. Exponentials cutting axis - solutions

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