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Travka [436]
3 years ago
15

Plot the x- and y- intercepts of the function.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
4 0

Answer:

y intercept = -2

x intercepts = -2,-1,1

Step-by-step explanation:

f(x) = x^3 + 2x^2 -x-2

Set this equation equal to zero to find the x intercepts.

Factoring by grouping

0 =x^3 -x   +2x^2 -2

   = x( x^2-1) +2(x^2-1)

Factoring out the (x^2-1)

0= (x^2-1) (x+2)

Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)

0 = (x-1) (x+1) (x+2)

Using the zero product property

x-1 = 0  x+1  = 0  x+2 =0

x=1,  x=-1   x=-2

The x intercepts are -2, -1, 1


To find the y intercepts, set x=0

y = x^3 + 2x^2 -x-2

y = 0 -2

y = -2


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The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees. One year, th
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Answer:

The Z-score for that day's temperature is 2.41, and since Z > 2, this temperature is significantly high.

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In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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