x²-7 7. Determine the intervals of increase/decrease for the function f (x) = x+4

Q: (2x+5 if x<-1 6. Sketch (By Hand) a graph of the piecewise defined function: f(x)=- 5-x if x2-1

A: The domain of the first piecewise function f(x) = 2x + 5 is all values of x which are less than…

Q: x – 5, for x 3.

A:

Q: Q.5 Find the relative maxima and relative minima of the function, if any. 1 f(x) = x³ – 2x² – 5x –…

A: Given function,f(x)=13x3-2x2-5x-10Differentiate w.r.t.xf'(x)=13×3x2-2×2x-5f'(x)=x2-4x-5Differentiate…

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: f(x)-x -1 8(x)-2x -2x -5 Find g(f(x) )

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the intervals of increase and decreases for the function f(x)=7/(9-x^2).

A: For any function f(x), the function increases for all those values of x for which f'(x)&gt;0 and the…

Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: 7. Graph the piecewise function: x<3 f(x)={ 1 3<x x- 3

A:

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

A:

Q: Q1// Graph and discuss, with detail, the continuity of the function -1 <x< 0 x2- 1 2x 0 <x< 1 y =…

A: The given function is y=fx=x2-1,-1≤x&lt;02x,0&lt;x&lt;11,x=1-2x+4,1&lt;x&lt;20,2&lt;x&lt;3

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: -9x+10 2. Let f(x) = Determine if the function is continuous and show the graph of the function. x-2

A: Let's find.

Q: f(x) = 11 - x f-1(2) =

A:

Q: f(x)=1-2x What is f(1/x)?

A: Solution: The objective is to find f(1/x)

Q: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

A:

Q: f(x) = x^2 + 4/2x What interval is the function decreasing?

A:

Q: graph the function:f(x)=-2 for x

A: Graph the function: f(x)=-2 for x

Q: 2х - 2 -1< x<0 f (x) = {-2x – 2 (5 (x+2) 0 <x<1

A:

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

A:

Q: (2x-1 f(x) = find f(2) 2-1.

A:

Q: 2. f(x) = 3[ x]

A:

Q: x+3 6. Sketch f (x) x²-4

A:

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 3x x²-9 14. For the function f(x)=- a) The x and y-intercepts. find the following

A:

Q: -1 if x < -1 2. f(x) = 3x +2_if |x|<1 7-2x if x ≥ 1

A: Function

Q:

A: Here, function f(x) is,

Q: x2+9x+20 1. Consider the function f(x) %3D x2-9 A. [3 pts] Find the values of x that makes f (x) =…

A:

Q: x2-5x-14 5. Graph function of f (x) = X-4

A:

Q: x² – 4 when x < 2 X - 2 ax? – bx + 3 2х — а + b f(x) = when 2<x < 3 x2 3 when | 1.Find what values…

A:

Q: Q1. Find the domain and the Range for the function: 1 f(x) V1- x2|

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

A: Given, function is

Q: Find (f-1)'(a) for f(x) = 3x – 3 when a = 0. Enter an exact answer. Provide your answer below:…

A:

Q: x2 – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) х— 2 are the same…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 19. Find the domain and range of f(x) = 2e-x +1

A:

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Determine the intervals of increase/decrease for the function f(x) = x² -12

A:

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

A:

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: f(x) = x-2 (x + 2)² Find the maximum and minimum limits of the function:

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: a² – 4a + 4 Find the function value. Let f(x) = 6x + 5 and g(a) = g(-4)

A: see below the solution

Q: x3 9 'f(x) = 3 Determine the interval on which the function x² + 8x – 7 is decreasing.

A:

Q: 6. Graph the piece-wise function: f(x) = {[x] + 1 3-x if -3 ≤ x ≤0 if 0 < x≤ 3

A:

Q: Find the x- and y-intercepts of the graph of the function f(x)=−2|x+5|+2. Enter your answers as…

A:

Q: The intervals on which the function f(x) = x – 4x° + 4x2 + 6 is decreasing

A:

Q: x2 + 2/x + 3 If f' (x) = find the net change in f(x) between x=1 and x=3.

A:

Q: 5) Find the intervals where the function is increasing or decreasing. Determine the relative extrema…

A: Given      fx=x3-3x+2

Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

A:

Q: (x-1)(x+4) What is the long-run behavior of the function y =- As x → 0 and as x → -

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.