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PRECALCULUS HONORS TEST REVIEW 12.3 Approximate the slope of the tangent line to the graph at the point (x, y). 1. 20. Find a formula for the slope of the graph of f at the point (x, f(x)). Then use it to find the slope at the two given points. 2. 3. f (x) = x 2 − 4x a) (0, 0) b) (5, 5) f (x) = x a) (1, 1) b) (4, 2) Find the derivative of the function. 4. 5. 6. f (x) = 5 f (x) = 3x −1 f (x) = 2x 2 + 2 7. g(t) = 6 5−t 8. If f (x) = 2x , then f '(2) = 1 1 (A) (B) 4 2 (C) 2 2 (D) 1 (E) 2 Find the slope of the graph of f at the given point. Use the result to find an equation of the tangent line to the graph at the point. 9. f (x) = 2x 2 −1, (0, −1)