a. Type the function f (x) = (x - 1): + 4 into Geogebra and then copy onto the grid in part a below. b. Now type f'(x) into the input line, click enter, and sketch the derivative in part b below. a. (5 points) Graph of f(x) Repeat the instructions from #14 for f(x) = * - b. (5 points) Graph of f' (x) a. (5 points) Graph of f (x) b. (5 points) Graph of f'(x) 0 in N -5-4-3-2-1 01 2 3 4 5 - 4 - 3 -2 -1 0 1 2 3 4 -5-4-3-2-1 101 -4 -3 -2 -1 0 1 2 3 4 5 * Fill in the blanks with one of the following phrases, referring back to the graphs you drew in question #4. 6. (9 points) Now look back at all the pairs of graphs and derivatives that you've drawn in questions 2 - 5, Vertical tangent line, Horizontal tangent line, Vertical asymptote, Horizontal asymptote and fill in the blanks with one of the following phrases (an answer can be used more than once and not c. (1 point) In graph 4a there is a d. (1 point) In graph 4b there is a vertical tangent line at x = 1. all answers need to be used.) Vertical asymptote atx = 1. has a horizontal tangent line is below the x-axis is increasing is above the x-axis s decreasing equals zero has a vertical tangent line is undefined a. In regions where f(x) slopes upward from left to right, f'(x) b . In regions where f( x ) slopes downwards from left to right , f' ( x ) C . At x values where f ( x ) has a sharp corner , f' ( x )_ d. At x values where f (x) is discontinuous, f' (x ) _ e. At x values where f' (x ) = 0, f (x ) f. At x values where f' (x) is positive, f (x )_ g. At x values where f'(x) is negative, f (x) h. At x values where f (x) has a peak or a valley, f' ( x ) _ or f' (x )