Practice exam 1-130

2 a c omp u te f3 f 1 f0 b comp u te g 2 c

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Unformatted text preview: omp u te f(3) + f(-1) + f(0) b ) comp u te g (-2 ) c) F in d h(x + 1 ) - h(x) an d s imp l ify. d ) C ompu te h(3 + h) ! h(3) h an d s imp l ify e) W h a t i s t h e d omain of f(x) ? f) Wh a t i s t h e ran g e of f(x) ? 6. F o r 2 x = - 3 y + 1 2 a) F i n d t h e in t ercep t s. B ) S ke tch i t s g rap h 7. C omp le te t h e fo l l o w i n g ta b le for t h e fu nc t i o n 2 y= 2x ! 5 . ........... 3 8. g i v en t h e g rap h of y = 2 x + x ! 1 : a) F in d t h e x-in tercep t( s) , if an y. D o al g e b raica l l y an d s h o w w o rk. b) F i n d t h e y - i n tercep t( s), if an y. D o al g e b raica l l y an d s h o w w o rk. x 0| 5| -1 | y 9. Th e p er imeter of a recta n g l e i s 2 0 0 ft. an d th e len g t h of th e recta n g le i s fo ur t imes t h e w i d t h . F in d t h e d imen s i o n s of th e rec tan g le. a) SET U P TH E E Q U ATIO N t o s o l v e for t h e w i d t h w. D o n o t s o l v e . b) F i n d t h e d imen s i o n s of th e recta n g l e. 1 0. If a firm has fixed co s t s of $ 1 2,0 0 0 p er mo n t h, se l l s i t s p ro d u c t for $ 6 5 p er u n i t., an d h a s v aria b le co s t s of $ 1 5 p er u n i t, th e n : a) Wr i te th e fu n c t i o n s for to ta l co s t, t o ta l rev en u e, an d p rofi t. b) H o w man y u n i t s mu s t b e so l d each mo n t h t o b reak ev en ? c) H o w man y u n i t s mu s t b e s o l d t o make a p rofi t of $ 1 0 0 0 ? d) S k etc h t h e g...
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