II. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC12 2.1.029. MY NOTES ASK YOUR TEACHER PR Consider the following function. f ( x ) = x2 + 4 , (1, 5 ) (a) Find an equation of the tangent line to the graph of fat the given point. y : X (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. (Select the cor y 10 10 9 9 8 8 5 2 X 1 2 3 -4 - 3 -1 1 2 3 4 -4 -3 -2 -1 -1 -1 -2 - 2 O12. [-/2 Points] DETAILS LARCALC12 2.1.031. MY NOTES ASK Consider the following function. f ( x ) = x, (1, 1 ) (a) Find an equation of the tangent line to the graph of f at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm 4 4 2 F 2 X X 2 4 -2 2 4 -4 - 2 -41. [-/2 Points] DETAILS LARCALC12 2.1.005. MY NOTES ASK YOUR TEACHER Estimate the slope of the graph at the points (x] , y,) and (x2. )2). 4 3 2 (X1, y1) 1 -4 -3 -2 1 2 3 4 (X2, yz) -1 -2 -3 slope at (x1, )1) slope at (X2, )2) Need Help? Read It2. [-/5 Points] DETAILS LARCALC12 2.1.007. MY NOTES ASK YOUR TEACHER Use the graph shown in the figure. 6 (4, 5) 4 (2, 3) 2 X 2 4 6 Identify each of the quantities on the figure. (a) f(2) and f(4) f (2) =6 A Identify each of the quantities on the figure. (a) f(2) and f(4) f(2) = f ( 4 ) = ( b) f ( 4 ) - f (2 ) F ( 4 ) - f ( 2 ) = ( c) 4-2 4 - 2 = (d) y - 2= f(4) - f(2) ( x - 1) 4- 2 y= Read It\f