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Mathematics 11 Online
OpenStudy (anonymous):

if a linear function is a straight line on a graph, does that mean it has no maximum?

OpenStudy (anonymous):

hey you helped me earlier

OpenStudy (anonymous):

hey

OpenStudy (anonymous):

depends on your domain.

OpenStudy (anonymous):

how do i find the domaiin

OpenStudy (anonymous):

i know xis greater than or = to 0

OpenStudy (anonymous):

if the domain is from -infinity to +infinity, then the straight line has no maxima or minima.

OpenStudy (anonymous):

then your boundary values are where the line will have a maxima or minima

OpenStudy (anonymous):

so plug in x = 0 in your equation and see what the output is. That should be your minima.

OpenStudy (anonymous):

you dont have a maxima because there is no boundary to infinity.

OpenStudy (anonymous):

when i solved for the max, i used -b/2a and came up with x=2500

OpenStudy (anonymous):

then i plugged that into p(2500)= -.01(2500)^2+50(2500)+30000 to come up with 92500

OpenStudy (anonymous):

when i plugged in 0 into the equation, i got 30,000

OpenStudy (anonymous):

your equation is quadratic. it is not a straight line.

OpenStudy (anonymous):

your question was to do with straight lines.

OpenStudy (anonymous):

how did you kknow it is a quadratic

OpenStudy (anonymous):

because p(x) = -.01x^2 +50x+30000

OpenStudy (anonymous):

there is an x^2 term. so it is quadratic---> not a straight line.

OpenStudy (anonymous):

then the question isAnnual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0. then graph the profit function over its given domain

OpenStudy (anonymous):

use the 5 values to construct the graph 1,2,3,4,5

OpenStudy (anonymous):

you already asked me this question. I thought i had replied earlier

OpenStudy (anonymous):

yes but the graph

OpenStudy (anonymous):

i know the rest

OpenStudy (anonymous):

how would i graph this?

OpenStudy (anonymous):

would y then be 1 30049.99 2 30099.96 3 30149.91 4 30199.84 5 30249.75

OpenStudy (anonymous):

P(x) | | | | | | |---------------------------------------->X

OpenStudy (anonymous):

can anyone help?

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