Which of the following inequalities matches the graph?
2 answers:
Answer:
Step-by-step explanation:
In the graph we have vertical line at x=5
The vertical line is a solid line so we use <= or >= symbol
For vertical line , the slope is undefined
so the equation becomes x= 5
For inequality we look at the shading region
the left side of the vertical line is shaded , so we use <= symbol
The final inequality is
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Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
1) Find slope:
=
= -2
-2 = slope
2) Find y intercept trough point slope and slope-intercept forms
y - y1 = m (x - x1)
y - 9 = -2 (x + 2)
y - 9 = -2x -4
+ 9 + 9
y = -2x + 5
y = mx + b with b being the y-intercept
5 = y-intercept
or can be written as
This is a question about the composition of functions and how to get a domain function.
Given and
.
We will form (b o a)(x) and then determine the domain.
<u>Step-1</u>
Replace each appearance of x in b(x) with .
Thus,
<u>Step-2</u>
To be defined, the value under the radical sign must not be negative. Therefore, the domain of are processed as follows.
Both sides added by 3.
Both sides divided by 3.
Thus, the domain of is
or can be written as
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Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,
