i) The given function is
The factored form is
The domain are the values of x for which the function is defined.
ii) To find the vertical asymptotes, equate the denominator to zero.
iii) To find the roots, equate the numerator to zero.
The root is
iv) To find the y-intercept, put into the function.
The y-intercept is
v) The horizontal asymptote is given by;
The horizontal asymptote is
vi) The function is not reducible. There are no holes.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
You can write it without exponent
3x*3x or 9x*x
Answer:
f(x) = (x - 4)² - 4
Step-by-step explanation:
∵ The general form of the Parabolic function is :
f(x) = (x - h) + k ⇒ where point (h , k) is the turning point
∵ The turning point is (4 , -4)
∴ f(x) = (x - 4)² + -4 = (x - 4)² - 4
To check the answer:
Use the point (6 , 0) ⇒ 0 = (6 - 4)² - 4 ⇒ 0 = 4 - 4
∴ f(x) = (x - 4)² - 4
Answer:
9
Step-by-step explanation:
3/4 = x/12
Cross-multiply: 36 = 4x
x = 9
The roller coaster gains speed in the matter of time but then loses speed