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Suppose that the functions q and r are defined as follows. q(x)=x2+5 r(x)= x+3 Find the following. Suppose that the function h is defined, for all real numbers, as follows. X if x # 2 hx = 2 3 if x = 2 Find h (- 1), h (2), and h (4). h ( - 1 ) = ] 0O h (2 ) = ] X h (4) = 1-9 6x2+7' The function g is defined as g (x) = Find g (x 2). Write your answer without parentheses, and simplify it as much as possible. The entire graph of the function f is shown in the figure below. Write the domain and range of f as intervals or unions of intervals. 4 - 3- domain = (0,0) [0,0] (0,0] 2 - range = 1- [0,0) -4 - 3 - 2 4 -1- OO - OO -2 -3- X 5 -5-Determine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable. ... ...... . . .. . ...5.. ...5.. ...5.. . . ... . .. . .. . . . . . . .. . . . . . . . . . ... 0,0,... 0,O . . ; . .. . . . ..... .. .. .. .... ..i ... .. ... .. ... . .. . 4- .. .. [0,0] (0,0] [0,0) .3. ..... ....... . . !.. ...... . . . . . . . .. ..... ..i.. OO - OO -7 -6 -5 ...5 ..... . . . ... None 2. . . . . . .... . . . . . - 3- ..... . ... .. .... :..... ..!.. : ..... : .... ..!.. . . . . . . .... ... . . . . . . !.. X . . . . . . .. .. ... . . . .. . . ...........!... . . . . . .... . . . . . . . . ... .....2. .; .. . . .. . . ... .. .. . . ... . . . .. . . ..... . . . . . .... . . . .. . . . ..For each graph, choose the function that best describes it. (a) (b) ... .... ........ ... .... ..... ..... ......... .3...... ... .. . ... ... ... .. ... ..2... ..-3. -2. ....N. .. . Co ..... ... ........; ....;.A ... .. ...;.. ... ... ... .... ... ... ..... ... .....; ... ................4 4....... (Choose one) (Choose one) (c) (d) ...; ..... .... ... ...... ..... .....;.... ...4..3......... .... .....; ......... .... . ... ............. ...2. ...j ... ... ... ..... ..... ..... ... . .. . ..... ........ .4 -3 -2 ..-4 -3 ..3... .. ..... ..... .... 1-2- ... ... ..... ... ....... ......-3..... ..5 .... .. . ... ...:... .14- (Choose one) (Choose one) X 5Suppose that the functionfis defined, for all real numbers, as follows. 2x+3 Wx