Answer:
x-intercept → (-4, 0)
y-intercept → (0, -2.44)
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Given function is f(x) = ![-\sqrt[3]{(x+3)}-1](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%28x%2B3%29%7D-1)
For x-intercept,
![-\sqrt[3]{(x+3)}-1=0](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%28x%2B3%29%7D-1%3D0)
![-\sqrt[3]{(x+3)}=1](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%28x%2B3%29%7D%3D1)
![\sqrt[3]{(x+3)}=-1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28x%2B3%29%7D%3D-1)
(x + 3) = -1
x = -4
Therefore, x-intercept → (-4, 0)
For y-intercept,
Substitute x = 0 in the function.
f(x) = ![-\sqrt[3]{(0+3)}-1](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%280%2B3%29%7D-1)
= ![-\sqrt[3]{3}-1](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B3%7D-1)
= -1.44 - 1
= -2.44
Therefore, y-intercept → (0, -2.44)
Domain: This function is defined for all real values of x.
Therefore, Domain: (-∞, ∞)
Range: Since this function is defined for all real values of x, we will get a distinct output value for every distinct input values.
Therefore, Range: (-∞, ∞)
Answer: 30 degrees
Step-by-step explanation:
The total is 180 degrees.
there is a right angle on the left. A right angle is 90 degrees.
180 - 90 = 90
There is still 90 degrees left, meaning that the right side is a total of 90 degrees.
2x + x = 3x
x = 90/3
x = 30
Therefore,
x = 30 degrees!
Hope it helped!
Answer:
Qualitative Research
Step-by-step explanation:
In this type of research there is focus to collect data which is non numerical. This type of research tries to ask questions that relate to why and how something occurs rather than how many times it occurs.
Case study is an example of qualitative research. Quantitative research depends on the mathematical formulations and relations to come to a conclusion while qualitative research does not.
Answer:
y = -2x +4
Step-by-step explanation:
The equation of a line is written as y = mx+b. Since m= -2 and b = 4, the the equation is y = -2x + 4.
