Question

the first part, how should i solve this without a calcualtor for 2 and for 3 how will i use the rational root zero theorem:

2. Find the maximum value of f(x) = -3x2 + 6x - 5 without a calculator 3. List all possible rational roots of f(x) = 8x5 + 2x4 - 3x2 + 2x - 12 as given by the rational zeros theorem.

for 4-8: how will i solve step by step approch?

Answer 1

for) -372 +691-55 fW = - 6x +6 for maxm of minm, put fug=0 = 606=0. XI i fu = -3(1)2 + 663 -5 : : -3 +6-5 B = -8+6 . 2 . upon checking, we find that maxm -39246re's is -2 value of fon = 8x5+2x" - 372 +22-12 > + d . The rational Zero Theorem tells us that of Pla is a gent of fore , then p is a factor of -12 and a is a facter of 8 The factor of -12 are ty, 12, 13, 14, 16, 412 I the factors of 8 ase 11, 12, 14, 18 is the possible values of Pla are 11, #1, +, ------ +12,4 , 1 team we cani determine which of the possible Reades are actual penOS by substituting these values for xin 1012. cs Scanned with tengetather auswert

folan:- © for = 28-02 fraith) - flou n ? - . [2004h) - conthp?] - [271-22] [2001 th) - (onth) _ n = zut ke-(4xzt, ut gle) -(4+1) h?-zach - zatar - 24+2han = sant h C2--20) 2--9-22 . par les . when h> o fonts for anda actined forth) fins CamScanner h. es genned fronth) - fina a 2-27

☺ fev = let y = 2/ 3s Therefore, >> 345= ? (= kateş :>> ****5+5) - Pretty ..) ** BUS . Domain of fibis R-{0} Range of fitors - 1 (tiem, Hero R is set of Real nos ) fev = *72, Jen) = 2*45 fog= f{geme} = $(2x+5) = (2x1.75 ) +2 en+5)-2 2242 28-7 Domain of for R-8/28 (Her, Ruch a set of real mos) Scanned with CamScanner

1 x² + 4x + y² 2y =0 - 1 for getting an intercept, put y = 0 » 2²4 ya :o ») x = 0,-4 . for getting yointercept, but as o => yer2y = 0 3) y = 0,2 Therefore, x-intercept → (4,0) y-intercept ---> (0, 2). Graph of it from the Bymmetric graph it is about you crvis clear that 207 Y- aki is neither . Scanned with CamScanner