Write the following as intervals :(i) {x : x ∈ R, – 4 < x ≤ 6}                        (ii) {x : x ∈ R, – 12 < x < –10}(iii) {x : x ∈ R, 0 ≤ x < 7}                           (iv) {x : x ∈ R, 3 ≤ x ≤ 4}

Q: Use interval notation to indicate where x2 – 1 - f(x) = x2 – 7x + 6 - is continuous. f is continuous…

A:

Q: |Suppose that f(x) = In(4 + x²) (A) Use interval notation to indicate where f(x) is concave up.…

A: The graph of function is

Q: Given the function: (x² + 5x-2,-4<xs-1 7x+|-x|,-1<x<3 f(x) = {²7²x i. List ALL the elements of the…

A: Concept Used: Domain: The set of all x--values that a function passes through. Also, the left…

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: If X ~ N(80, 144) then find (90< x<100).

A: GivenX~N(80,144)Mean(μ)=80variance(σ2)=144standard deviation(σ)=144=12

Q: Find the value of: 2 100 ;] [*] + x + 100 ] + [~ + + ++ 99 100

A:

Q: State the 3 conditions of continuity on a Closed Interval.

A: Given query is to give the three condition of continuity.

Q: If f(x) = -e" - 2, then the range of f is given by the interval A. (-00, -2) B. (-00, +o0) C. (-2; ,…

A: Explanation of the solution is given below...

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.