Answer:
Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.
Substitute x =-1 and x = 0:
Range of this piece is [-5; -2)
Substitute x =0and x = 5:
Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:
Look at the picture.
Answer:
Step-by-step explanation:
From figure,
In triangle
Hence,
Answer:
a =1 and a=4.
Step-by-step explanation:
The function is
If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.
Now, for a a positive real we have that will annulate the denominator, i.e
. But, if a = 1 we have:
so, the value won't annulate the denominator.
Now, for a = 4 we have:
so, the value won't annulate the denominator.
In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.
Answer:
Yes
Step-by-step explanation:
Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.
Answer:
the length and the width are inversely proportional to each other ( or )
Step-by-step explanation:
Let
l units = length of the rectangle,
w units = width of the rectangle.
The area of the rectangle is
A rectangle has an area of 36 square units, so
Complete the table with some values of l and w that fit the previous formula:
As you can see, the length and the width are inversely proportional to each other ( or )