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Hello, Thanks for all your help!

 

1.

For which intervals is the function positive?

Select each correct answer.

(4, 8]

[−8, −6)

(−2, 4)

(−6, −2)

 

Graph:

A grid with x axis increments of two increasing from negative ten to ten and y axis increments of two increasing from negative ten to ten. The grid contains three connected line segments beginning at the point begin ordered pair negative eight comma four end ordered pair, progressing to begin ordered pair negative four comma negative four end ordered pair, begin ordered pair zero comma four end ordered pair, and ending at begin ordered pair eight comma negative four end ordered pair

 

2. 

What is the relative minimum of the function?

A coordinate plane with x axis increments of one increasing from negative 5 to 5 and y axis increments of one increasing from negative 5 to 5. The coordinate plane contains a parabola opening up with a vertex at begin ordered pair one comma negative five end ordered pair. The parabola crosses the y axis at begin ordered pair 0 comma negative 3 end ordered pair.

3.

For which intervals is the function increasing?

Select each correct answer.

(2, ∞)

(−∞, 0)

(0, 1)

(1, 2)

 Graph:

A grid with x axis increments of two increasing from negative ten to ten and y axis increments of two increasing from negative four to ten. The grid contains a W shape curve opening up with round edges entering in the second quadrant and exiting in the first quadrant. The bottom of the W shape touches the x axis at begin ordered pair zero comma zero end ordered pair and begin ordered pair two comma zero end ordered pair. In between these two points the curves meet to form the middle of the W shape at begin ordered pair one comma one end ordered pair

Guest Mar 16, 2018

Best Answer 

 #1
avatar+7324 
+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
 #1
avatar+7324 
+2
Best Answer

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

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