What graph could represent the function f(x)= 1/x -1 ?

let f(x)=2x^2+7x-4/x^3-1 what is the domain,range,roots,end behavior and intersect the y-axis of f(X)

victus00 [196]

Here's the factorization of the equation
f(x) = [ (x+4)(2x-1) ] / [ (x-1)(x^2+x+1) ]

Domain
The domain of a function is the set of input or argument values for which the function is real and defined.
- function domain : x < 1 or x > 1

Range
Resulting f(x) values: all Real Numbers

Roots
x = 1/2 & -4

Axis interception points
x-axis: (1/2, 0) , (-4, 0)
(y-axis): (0, 4)

Asymptotes
Vertical: x = 1
Horizontal: y = 0

3 0

3 years ago

Symposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable

notsponge [240]

Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) $Z=2.45$