8f3 Worksheets

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Functions Define, evaluate, and compare functions. 3Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s 2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1], (2,4) and (3,9], which are not on a straight line.

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8f3 Worksheets - Identify Linear Functions (Equations) worksheet

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Identify Linear Functions (Equations)

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Decide whether an equation makes a straight-line relationship (a linear function) or not.
Recognize common linear forms like y = mx + b, point-slope form, and standard form.
Spot equations that are not linear because they have exponents, roots, variables multiplied together, or variables in the denominator.

8f3 Worksheets - Identify Linear Functions (Graphs) worksheet

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Identify Linear Functions (Graphs)

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Decide whether a graph shows a linear function by checking if it makes a straight line.
Tell the difference between linear and non-linear graphs by looking for curves or changing steepness.

8f3 Worksheets - Identify Linear Functions (Table) worksheet

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Identify Linear Functions (Table)

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Decide whether a table of input and output values follows a linear rule.
Check if the output changes by a constant amount when the input increases by the same amount.
Find the rate of change (slope) from a table by comparing how much the output changes to how much the input changes.
Spot tables that are not linear because the differences in the outputs are not consistent.