What is the domain of the function y = -4x+1 if the range is -11
1 answer:
The range of a function is the set of all values that it can take when its independent variable takes values on the domain.
On the other hand, the range of a function is the domain of its inverse function, if that inverse exists, and vice-versa: the domain of a function is the range of its inverse function, if that inverse exists.
In the case of the given equation:
The inverse function exists since the function is linear, and it can be found by isolating <em>x</em>:
If the range of the original function is the set given by the number {
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Answer:
The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write and solve a system of inequalities that models this situation
Let
x ---> represent the number of hours Leah babysits
y ---> represent the number of hours Leah works at the ice cream shop
we know that
<em>Leah would like to earn at least 150 per month</em>
The term "at least" means "greater than or equal to"
so
----> inequality A
The solution of the inequality A is the shaded area above the solid line
The slope of the solid line A is negative m=-5/6
The y-intercept of the solid line A is (0,12.5)
The x-intercept of the solid line A is (15,0)
Leah cannot work more than a total of 25 hours per month
----> inequality B
The solution of the inequality B is the shaded area below the solid line B
The slope of the solid line B is negative m=-1
The y-intercept of the solid line B is (0,25)
The x-intercept of the solid line B is (25,0)
using a graphing tool
The solution of the system of inequalities is the shaded area above the solid line A and below the solid line B
see the attached figure
