Where are the graphs? a function is when every input is paired with exactly one output(every x value must have exactly 1 y value). the vertical line test helps determine a function, a vertical line can’t intersect a graph at more then one point, if it does intersect in more then 1 point then it’s not a function
Answer:
![\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Ctext%7BDomain%3A%7D%5C%20D%3D%5Cmathbb%7BR%7D%3D%28-%5Cinfty%3B%5C%20%5Cinfty%29%7D%5C%5C%5Cboxed%7B%5Ctext%7BRange%3A%7D%5C%20R%3D%5Cmathbb%7BR%7D%3D%28-%5Cinfty%3B%5C%20%5Cinfty%29%7D)
Step-by-step explanation:
y = 4x - 5 + 3 = 4x - 2
It's an equation of a line in the slope-intercept form.
y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.
The domain of a linear function is the set of all real numbers.
If a slope of linear function is different than 0, then the range is the set of all real numbers.
Answer: B. ![65.3\pm(2)(0.3)](https://tex.z-dn.net/?f=65.3%5Cpm%282%29%280.3%29)
Step-by-step explanation:
The confidence interval for the population mean is given by :-
![\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample size : n= 100
Sample mean : ![\overline{x}=65.3\text{ inches}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D65.3%5Ctext%7B%20inches%7D)
Standard deviation: ![\sigma=3 \text{ inches}](https://tex.z-dn.net/?f=%5Csigma%3D3%20%5Ctext%7B%20inches%7D)
Level of confidence = 0.95
Significance level : ![\alpha=1-0.95=0.05](https://tex.z-dn.net/?f=%5Calpha%3D1-0.95%3D0.05)
Critical value : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Then, 95% confidence interval for the population mean will be :-
![65.3\pm (1.96)\dfrac{3}{\sqrt{100}}\\\\\approx65.3\pm(2)(\dfrac{3}{10})=65.3\pm(2)(0.3)](https://tex.z-dn.net/?f=65.3%5Cpm%20%281.96%29%5Cdfrac%7B3%7D%7B%5Csqrt%7B100%7D%7D%5C%5C%5C%5C%5Capprox65.3%5Cpm%282%29%28%5Cdfrac%7B3%7D%7B10%7D%29%3D65.3%5Cpm%282%29%280.3%29)
Answer:
y=5/2x+9
Step-by-step explanation:
0, 9 is the y intercept or b