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L CALCx-HS-A09 the slope of the graph at x = 0. X -10 9 8 7 6 5 4 9 2 10 0 -3 0

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L CALCx-HS-A09 the slope of the graph at x = 0. X -10 9 8 7 6 5 4 9 2 10 0 -3 0 0 O 1 0 3L Use the graph below to find the slope of the function at x = 1. Which line is the secant line? Which is the tangent line? 5678 9 10 O secant (red b), tangent (blue a). Slope of the graph at x =1 is 2. O secant (blue a), tangent (red b). Slope of the graph at x =1 is 2. O secant (red b), tangent (blue a). Slope of the graph at x =1 is 1. O secant (blue a), tangent (red b). Slope of the graph at x =1 is -2. Use the graph below to find the slope of the function at x = 0. Which line is the secant line? Which is the tangent line? X O secant (blue a), tangent (red b). Slope of the graph at x =0 is 3. O secant (blue a), tangent (red b). Slope of the graph at x =0 is -2. O secant (red b), tangent (blue a). Slope of the graph at x =0 is 1. O secant (red b), tangent (blue a). Slope of the graph at x =0 is -3.Use the definition of the derivative, f'(c) = lim f(c+ Ax )-f(c) , to find Ax-0 Ax f' (c) where f (x) = x2 - 3x + 2 atc= 1. 0 -1 O N/- 0 1 O 2L Use the definition of the derivative, f'(c) = lim f(c+ Ax )-f(c) , to find Ar-0 Ax f' (c) where f (x) = Vx+ 2x andc= 1. O 2 O If f(x) = x2 + 1 and f' (x) = 2x, what is the equation of the tangent line at c = 1? Oy-1=-2(x- 1) oy-1 = 2(x - 2) oy- 2=2(x - 1) Oy-1=2(x- 1 )L CALCX-HS-A09 the slope of the graph at x = 0. AY 5 3 5 -3 -2 0 -1 O 0 0 1 O 2 Use the table to estimate the slope of the function at x = 1, using the secant between x = 0.8 and x = 1.2. x 00 02 0.4 0.6 08 1.0 1.2 1.4 1.6 1.8 20 ((x) Q0 00 02 04 06 10 14 20 26 32 40 0 2 O O O -2Use the table to estimate the slope of the function at x = 02 using the secant betwoon x = 0.0 and ) = 0.4. 0 0 0 2 0 4 06 08 10 12 14 16 18 20 Nx) 00 0.0 02 04 0.6 10 1.4 20 26 32 40 04 0 2 0 0.5 0 -0.5

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