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Standards›HSF.IF

HSF.IF Interpreting Functions worksheets

Worksheets for 8 Common Core standards in Interpreting Functions, high school Functions. Each worksheet has three levels and an answer key.

Make a mixed HSF.IF worksheet
HSF.IF.A.1HSF.IF.A.2HSF.IF.B.4HSF.IF.B.6HSF.IF.C.7aHSF.IF.C.7bHSF.IF.C.7cHSF.IF.C.7d
Domain and rangeHSF.IF.A.1f(x) = √4x + 7Find the domain.Find the domain and range of a relation given as ordered pairs, and the domain of square-root and rational functions.Evaluating functionsHSF.IF.A.2f(x) = 4x2 + 5x − 4, f(2) = Use function notation: substitute the input into f(x) and evaluate, including negative inputs and squares.Key features of quadratic graphsHSF.IF.B.4What is the range of the function?xy−8−6−4−202468−8−6−4−202468Read the vertex, axis of symmetry, zeros, y-intercept and range of a parabola from its graph, and write its equation in vertex form.Average rate of changeHSF.IF.B.6f(x) = 3x2 − 6x + 5, from x = −3 to x = −2Find the average rate of change of linear, quadratic and exponential functions between two inputs.Vertex of a parabolaHSF.IF.C.7ay = x2 + 8x + 9Find the vertex of a parabola from vertex form, or from standard form with x = −b/(2a).Evaluating piecewise functionsHSF.IF.C.7bf(x) = −2x − 1x < −1−3x ≥ −1f(−1) = Evaluate piecewise-defined functions by choosing the piece whose condition the input satisfies.Graphs of polynomial functionsHSF.IF.C.7cDescribe the end behavior of the function.xy−6−4−20246−80−64−48−32−1601632486480Read the zeros and end behavior of a cubic or quartic from its graph, and write the function in factored form from its zeros and y-intercept.Asymptotes and holes of rational functionsHSF.IF.C.7df(x) = −7(x − 4)x2 − 25Find vertical asymptotes, horizontal asymptotes and holes of rational functions from their factored form and their degrees.