Constructing Linear & Exponential Functions (Algebra 1)
Free printable Algebra 1 algebra worksheet on constructing linear and exponential functions from input-output pairs, and finding terms of a geometric sequence.
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Algebra 1 · Math worksheet
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Algebra 1: Constructing Linear & Exponential Functions
Use the given input-output pairs or sequence to construct a linear or exponential function, or find the requested arithmetic- or geometric-sequence term. Every value is exact.
- 1.A table shows f(0) = 2 and f(1) = 4, growing by a constant factor each step. Write the exponential function f(x) = a·, then find f(3).
- 2.A table shows f(0) = 4 and f(1) = 12, growing by a constant factor each step. Write the exponential function f(x) = a·, then find f(3).
- 3.An exponential function has f(1) = 18 and f(2) = 54. Construct f(x) = a·.
- 4.An exponential function has f(2) = 36 and f(3) = 108. Construct f(x) = a·.
- 5.Two input-output pairs are (-2, 4) and (1, -8). Construct the linear function f(x) = mx + c.
- 6.Two input-output pairs are (-3, 14) and (-1, 10). Construct the linear function f(x) = mx + c.
- 7.An arithmetic sequence begins 3, -4, -11, ... with a common difference of -7. Find the 5th term.
- 8.An arithmetic sequence begins 10, 4, -2, ... with a common difference of -6. Find the 4th term.
- 9.A geometric sequence begins 7, 21, 63, ... with a common ratio of 3. Find the 6th term.
- 10.A geometric sequence begins 5, 10, 20, ... with a common ratio of 2. Find the 5th term.
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