14 Find the range of values of x for which:(x- 3)(x + 4)(x + 6) < 0. .

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing.

A:

Q: Find intervals where g(x) = 3x − x3 is increasing

A:

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = } (-x? + 10x - b, x24 satisfies…

A:

Q: 7. Determine the intervals on which f(x)=x³ - 9x² +24x –19 increasing or decreasing; relative maxima…

A: Sorry buddy. As per our guidelines I need to answer only first question if multiple questions are…

Q: 11. Find the absolute extremum of f (x) = 4- x3, where -2 < x< 1

A: Given: The function is  f(x)=4-x3,  -2≤x≤1   To determine: The absolute extremum of the function…

Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

A:

Q: Choose the correct intervals of x and y such that (x+y) is greater than 8.

A:

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = (x -…

A: Consider the following equation:

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

A: Given: Find the increasing and decreasing interval of function. Condition for monotonic increasing,…

Q: Choose the correct intervals of x and y such that (x+y)3 is greater than 8

A:

Q: Given the function f (x) = 3x25 – 6x24. Determine the intervals for which the function - is…

A:

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: f(x)=ln 5x2+4x2+1

Q: Find the open intervals on which f(x)= x^4+8x^3 is increasing or decreasing. Find the critical…

A:

Q: 2 b. State positive and negative intervals for f(x)=2x-5 3x+ 18 Positive interval: Negative…

A:

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. X y(x) =…

A:

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by…

A:

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 +…

A: Given: fx=12+x-x2 we know that for any function it is increasing then f'x has to be greater than…

Q: 15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x)…

A: In the question we have to find inverse of the given function and domain of the function.

Q: 2. In a population of N = 10 scores, the smallest score is X = 8 and the largest score is X = 20.…

A: According to the provided information, the smallest score is 8 and the largest score is 20

Q: 7 Find f(x) given that f (1) = =-- –- and f'(x)= 2x² 4. X. 23 114

A:

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: (c) For what values of a and b does the function ах 3, x < 4 f(x) = (-x² + 10x – b, x 2 4 satisfies…

A: Answer:   a = 0 and b = 27

Q: how many critical numbers does the funtion f ( x ) = | x 2 − 5 | have?

A: The graph of the function given below.

Q: (c) For what values of a and b does the function (ах— 3, x 4 satisfies the conditions of the…

A: Function  To find the values of a and b for which f(x) satisfies the conditions of the Mean-Value…

Q: from x = 1 to x = 4 2

A:

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

A:

Q: (c) For what values of a and b does the function ах — 3, x < 4 f(x) = (-x² + 10x – b, x2 4 satisfies…

A:

Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

A:

Q: A positive number x and its reciprocal are added together. The smallest possible value of this sum…

A:

Q: 1. Find all local max/local min values of f(r) = x² – 6x – 1

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) =…

A: we have to find the intervals on which f(x) is increasing and the intervals on which f(x) is…

Q: 4) Find the intervals where the function g is positive and enter exact answers only in interval…

A:

Q: If f : [0, 3] → R is continuous, must its range be a closed interval?

A: Given data: The expression for the function is f : [0,3]→R. The continuous image of the open bounded…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing.

A: Given, f(x)=-x44+x3-x2 we have to find the intervals on which f is increasing and the interval on…

Q: 5. During which intervals of x is the graph of the function f(x) = - (x + 3) (x + 5) (x – 1) below…

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the interval where…

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = 4 -…

A: Given, fx=4-x2

Q: The value of C obtained when we apply the Mean Value Theorem for f(x) 32x2 +3 on the closed interval…

A: .

Q: 4. Find the absolute max and min of f(r) = 2+5x - x* on the interval [0, 4 ]

A: Calculate the value of function at local extremum point and end points of interval.

Q: 1. Find absolute extreme values of the function on the given interval. Ax) = x - óx2 + 9x + 1, [2,…

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 1- f(x) = x³. ammmed

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (3) Find the absolute extrema of the function on the specified interval: f(x)=x² +3x² +1,[-1, 4)

A:

Q: 2, the interval of differencing being unity. E Evaluate

A:

Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: 6. Find the range using the appropriate expressions given the following domai -3, for x2,

A:

Q: On the graph of f(x)=tanx and the interval [2π,4π), for what value of x does the graph meet the…

A: On the graph of f(x)=tanx on the interval [2π,4π)

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = -x² + 10x - b, x2 4 satisfies…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.