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If the function f(x) is defined for al real numbers x as the maximum value of 2x + 4 and 12 + 3x, then for which one of the following values of x will f(x) actually equal 2x + 4 ? [DCRU]
A. -5
B. -4
C. -9
D. -6
Read Solution (Total 5)
-
- Take values from options
1) 2(-5)+4 = -6 , 12 + 3(-5) = -3
2) 2(-4)+4 = -4 , 12 + 3(-4) = 0
3) 2(-9)+4 = -14, 12 + 3(-9)= -15
4) 2(-6)+4 = -8, 12 + 3(-6) = -6
so that x = -4 gives the maximum value of 2x+4 and 12+3x - 11 years agoHelpfull: Yes(19) No(6)
- since
d(y)/d(x)=2x+4
then
d(y)=(2x+4)d(x)
y=2*x*x/2+4*x
y=x*x+4x
put
x=-4
y=0
then
max value at x=-4 - 11 years agoHelpfull: Yes(7) No(1)
- for -9, 2x+4 is greater than 12+3x
- 11 years agoHelpfull: Yes(4) No(1)
- its -4 2x+4=2*(-4)+4 holds the maximum value here
- 11 years agoHelpfull: Yes(1) No(2)
- f(x)=max[2*x+4,12+3*x]
for x=-9
f(x)=max[-14,-15]=-14;
so f(x) equals to 2*x+4 - 11 years agoHelpfull: Yes(1) No(0)
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