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# ALG II Questions

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Hello, Thanks for all your help!

1.

For which intervals is the function positive?

(4, 8]

[−8, −6)

(−2, 4)

(−6, −2)

Graph:

2.

What is the relative minimum of the function?

3.

For which intervals is the function increasing?

(2, ∞)

(−∞, 0)

(0, 1)

(1, 2)

Graph:

Mar 16, 2018

#1
+7543
+2

1.

y  =  f(x)

When  x  =  -8 ,  f(x) = 4  , and  4  is positive, so when  x = -8 , f(x) is positive.

The function is positive at any point above the x-axis.

The function is positive on the intervals   [-8, -6)  and  (-2, 4)

2.

The relative minimum is the y-coordinate of the low point on the graph.

The relative minimum is  -5 .

3.

The function is increasing when its slope is positive.

The function is increasing on the intervals  (0, 1)  and  (2, ∞)

Mar 16, 2018

#1
+7543
+2

1.

y  =  f(x)

When  x  =  -8 ,  f(x) = 4  , and  4  is positive, so when  x = -8 , f(x) is positive.

The function is positive at any point above the x-axis.

The function is positive on the intervals   [-8, -6)  and  (-2, 4)

2.

The relative minimum is the y-coordinate of the low point on the graph.

The relative minimum is  -5 .

3.

The function is increasing when its slope is positive.

The function is increasing on the intervals  (0, 1)  and  (2, ∞)

hectictar Mar 16, 2018