CCSS HSF-IF.C.7.e Worksheets
Algebra 2 · Interpreting Functions
Graph exponential and logarithmic functions, showing intercepts and end behavior, including the horizontal asymptote of an exponential curve and the vertical asymptote of a logarithmic curve.
Below are free printable worksheets that support HSF-IF.C.7.e. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.
Teaching guide
What students learn
Graph exponential and logarithmic functions, showing intercepts and end behavior, including the horizontal asymptote of an exponential curve and the vertical asymptote of a logarithmic curve.
Worked example
Graph f(x) = on the coordinate plane. State the y-intercept and horizontal asymptote, and describe the end behavior.
Answer: y-intercept (0, 1); horizontal asymptote y = 0; as x decreases without bound, f(x) approaches 0 (never reaching it), and as x increases without bound, f(x) increases without bound.
Why: Plot points such as (0, 1) and (1, 2). The graph is an exponential curve that flattens toward the dashed asymptote y = 0 on one side and rises steeply on the other, never crossing the asymptote.
Generated and checked in code, so it is correct.
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All functions worksheets →More Algebra 2 standards: HSF-IF.A.3 · HSF-BF.A.2 · HSA-SSE.B.4 · HSA-REI.C.6 · HSA-REI.C.7 · HSA-REI.C.8 · HSN-VM.C.7 · HSN-VM.C.8