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Evaluate the function graphically.

Evaluate the function graphically.-example-1

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By using the piecewise function, the output value of f(3) include the following; f(3) = -6.25.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:


y - y_1 = m(x - x_1)

Where:

  • x and y represent the data points.
  • m represent the slope.

First of all, we would determine the slope of this upward sloping line by using the rise and run;

Slope (m) = rise/run

Slope (m) = -3/4.

At data point (0, -4) and a slope of -3/4, a function for this line can be calculated by using the point-slope form as follows:

y + 4 = -3/4(x - 0)

y = -3/4(x) - 4

f(x) = -3/4(x) - 4, when 1 < x < 4

When x is 3, the value of f(x) is given by;

f(3) = -3/4(3) - 4

f(3) = -6.25

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