Let F(x) = / f(t)dt represent the area bounded by the graph f(t) and the horizontal axis. -2 2 3 4 5 6 7 8 9 10 Q a) Match each F(x) with the corresponding definite integral. - V F(2) - VF(1) a. / f (t ) at - VF( -1) b . / f ( t ) at - F(0) . - I f(t ) at d . ( f ( t ) at I f(b) at f. - / f (t ) dt\f(b) Find the area represented by F(3) - F(1) -2 -1 1 2 3 4 5 6 7 8 9 10 - 2 Q F(3) - F(1) = (c) Choose a formula for F(x) between x = 0 and x = 1 I f(t ) at [ 's (t ) at of " f( ) at of " s (1 ) at (d) Give two values at which F() = 0. (Hint: assume that the graph continues to the right. At what values of x will the top region and bottom region have the same area?) (e) Which is larger: F(2) or F(3)? OF(3) OF(2) (f) Which is larger: F(4) or F(5)? OF (5) OF (4) (g) Consider the interval [-2, 10], give open interval(s) on which F(a) is increasing