Answer:
f(x) = 3(x + 8)(x - 2)
Step-by-step explanation:
The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.
If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!
Please mark as Brainliest! :)
Answer:
0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
Step-by-step explanation:
Given the data in the question;
sample size n = 28
slope of the least squares regression line of y on x or sample estimate = 0.0623
standard error = 0.0224
95% confidence interval
level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05
degree of freedom df = n - 2 = 28 - 2 = 26
∴ the equation will be;
⇒ sample estimate ± ( t-test) ( standard error )
⇒ sample estimate ± (
) ( standard error )
⇒ sample estimate ± (
) ( standard error )
⇒ sample estimate ± (
) ( standard error )
{ from t table; (
) = 2.055529 = 2.056
so we substitute
⇒ 0.0623 ± ( 2.056 )( 0.0224 )
Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x
The domain of the function is the complete set of possible values of the independent variable. (−∞,∞),{x|x ∈ R}
<h3>What is the domain function?</h3>
The domain is the set of values for which the given function is defined.
The given function;
f(x) = 2x + 5
The domain of the given function is all real numbers except where the function is undefined.
In this case, there is no real number that makes the function undefined.
The domain of the function is the complete set of possible values of the independent variable.
(−∞,∞),{x|x ∈ R}
The range is the set of all valid y values.
Learn more about appropriate domain here:
brainly.com/question/20073127
#SPJ1