Question

Can anyone help me with 5 Algebra 2 questions please? I've been stuck on them forever, and I'd really appreciate the help!

Answer 1

what lesson

Answer 2

which questiond?

Answer 3

3.both can be correct.rate of change of any graph can be zero in two cases,
when the graph is constant,i.e. it describes a straight line parallel to x-axis for which slope is zero(in the given interval) and the other case is when the graph goes up through a turning point and when back down.in this case while the graph was going upwards the rate was positive and it was negative while it was coming down,decreasing the increase in the function.and mainly thefunction has the same value at both the ends of the given interval,so the net change observed is zero.therefore both of them can be correct.

Answer 4

@Rohitkhanna thank you so much!! <3

Answer 5

my pleasure

Answer 6

Literally love you.

Answer 7

very kind of u

Answer 8

#1 is pretty vague, but you'd find the x-intercepts by setting the function equal to zero and solving for x. You can construct a rough graph by making a graph that passes through all those points.

#2 means you need to find how the graph was translated from x^3. The +8 means it was shifted up 8 units, the -2 means it was shifted to the right 2 units.

Answer 9

#4, the end behaviour of an x^4 function is that the function approaches infinity both when x approaches negative infinity, and when it approaches positive infinity. You'd have to solve the equation when it's equal to zero to find the x-intercepts (break even points).

#5 you can look at the graph of an x^3: https://www.google.com/search?q=x%5E3&oq=x%5E3&aqs=chrome..69i57j0l5.802j0j7&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8

^all odd functions will have end behaviour like that

vs and x^4: https://www.google.com/search?q=x%5E3&oq=x%5E3&aqs=chrome..69i57j0l5.802j0j7&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8#es_sm=93&espv=210&q=x%5E4

^all even functions will have end behaviour like that

For how the graph was translated, you'd again just compare the graph to either of those two.

Answer 10

ie you'd see how much left/right and up/down the turning point has shifted.

Answer 11

5.graph of even functions are symmetric about y-axis while the graph of odd functions are symmetric about opposite quadrants.if the function gives same value for a given no. x and -x,then its an even function.if it gives y for x and -y for -x then it is an odd function..the amount of translation can be done by shifting the origin with respect to the given curve to obtain a standard function and seeing the distance moved and the increase or decrease in the slope of the graph.

Answer 12

Thank you! I have number 2 and 4 I just need number 4 now :)

Answer 13

x^4 - 3x^3 -8x^2 +12x + 16 = 0

I would graph it to find the zeroes (they're all whole numbers so you don't need to synthetic division or anything) https://www.google.com/search?q=x%5E4+-+3x%5E3+-8x%5E2+%2B12x+%2B+16&oq=x%5E4+-+3x%5E3+-8x%5E2+%2B12x+%2B+16&aqs=chrome..69i57&sourceid=chrome&espv=210&es_sm=93&ie=UTF-8

^you should be able to find four x intercepts

Answer 14

Just look at where the graph cuts the x-axis, they're all pretty clear to see.

Answer 15

Thanks I got it :)