Linear functions
Types of exercises: monotonicity of a linear function, zero of a linear function, slope from two points, line through two points, a line parallel to a given one, coefficients of a linear function, formula of a linear function from its properties, linear functions in applications.
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Point out the line parallel to the given one
y = −4x + 2
Give the zero of the function
f(x) = 11x − 9
Determine whether the function is increasing, decreasing or constant
f(x) = −6x − 1
Give the slope of the line through points A and B
A = (−10, 8), B = (6, −6)
Give the formula of the function f
The graph of a linear function f is parallel to the line y = 2x − 2 and passes through the point (3, 2).
Give the formula of the linear function whose graph passes through points A and B
A = (−1, 8), B = (3, −16)
Problem
A taxi ride costs 6 zł as a starting fee plus 2.80 zł for every kilometre travelled. How much does a ride of 10 km cost?
Give the coordinates of the point where the graph of the function f crosses the y-axis
f(x) = −x + 11
Point out the line parallel to the given one
y = 2x + 11
Give the zero of the function
f(x) = −4x − 29
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