What is the graph to the piecewise defined function g(x) = { x+4, -5<=x<=-1
2 answers:
g(x) = x+4, -5《x《-1
At x = -5, g(x) = -1
At x = -1, g(x) = 3
g(x) = 2-x, -1《x《5
At x = -1, g(x) = 3
At x = 5, g(x) = -3
Answer:
third graph, see attached in case the order changes
Step-by-step explanation:
g(x) = { x+4, -5<=x<=-1
2-x, -1<=x<=5
The graph will change at -1, so we can eliminate the first graph
It changes completely so we can eliminate the second graph
From -5 to -1 the slope is positive 1 so it will increase from left to right
The last graph decreases, so it has a negative slope at -5. We can eliminate the last graph
That leaves us the third graph
You might be interested in
Answer:
Step-by-step explanation:
Width of the sign made by Darius initially = 2 feet
Length of the sign = 2 feet 6 inches
Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.
In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.
Since, 1 feet = 12 inches
Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches
Width of the sign = 2 feet = 2(12) inches = 24 inches
Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.
So, the scale factor would be:
Length of Flyer : Length of Sign
= 10 inches : 30 inches
= 1 : 3
=
This shows, the length of flyer is times as that of the sign. So, the scale factor that Darius must use is
. The length and width of the flyer are
as that of the sign.
The same scale factor would result if we would have used the ratio of widths instead of the lengths.
Scale Factor = Width of Flyer : Width of sign
= 8 : 24
= 1 : 3
Therefore, Darius must type the scale factor of in his computer to get the size of the flyer.