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fantasticratz2
05.07.2019 •
Mathematics
What is the value of the range of the function f(x) =2x2-3x+8 for the domain value3?
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Ответ:
Given the function![f(x)=2x^2-3x+8.](/tpl/images/0055/8327/aa6ab.png)
For the domain value x=3 you should find f(3). With this aim substitute instead x the value 3 into the function expression:
the value of the range f(3) is 17.
Ответ:
Answer
17
Explanation
The range of a function is the value resulting from the possible independent variable x. It is the value of y in a function for any given independent variable.
f(x) =2x²-3x+8
When the domain = 3
f(x) = 2(3)² - 3(3) + 8
= 2×9 - 3×3 + 8
= 18 - 9 + 8
= 17
Ответ:
Hello from MrBillDoesMath!
x = 4, slope intercept form is y = 2x + 11
Discussion:
A vertical line goes straight up and down. The only thing "fixed" about it is its x value. Hence a vertical line has an equation like "x = ?". As your line passes through (4, -3), with x value 4. its equation is x = 4.
The slope intercept form of a line is " y = mx + b" where m is the slope of the line and b is its y intercept. We are told the desired line is parallel to y = 2x -1 which means both lines have the same slope (which is 2, boldfaced, above). So, we know the slope intercept form is
y = 2x + b
but we are also told the line passes through (-3,5). Substituting these values in the above equation gives
y = 2x + b
5 = 2 (-3) + b
5 = -6 + b
b = 5 + 6 = 11
The final slope intercept form is y = 2x + 11
Regards, MrB