Which of the following is an even function? g(x)=5x+2

Q: The graph of the function f(x) = 3x – x* + 5x? – 2x – 7 will behave like the graph of for large…

A:

Q: The value of the function f(x) = 3x - 7 at 5 is________

A: Given function is: f(x) = 3x - 7

Q: Find the intervals where the function f(x)= x3- 3x 2+3 is increasing and intervals where the…

A: The given function is f(x)=x3-3x2+3. It is required to find the interval in which the function is…

Q: what value of x will be found in the domain of function f(x) = 10/x-2

A: To find Domain , f(x) should be defined.

Q: Suppose that f(x) = 3x . (a) What is f(4)? What point is on the graph of f ?(b) If f(x) = 1/9, what…

A: GIVEN f(x) = 3x . we need to find the  (a) What is f(4)? What point is on the graph of f ?(b) If…

Q: Find the domain of the function f(x) = √(24 - 2x)

A: f(x) = √(24 - 2x) We know that the value or the expression inside the radical symbol  ''√'' should…

Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: Which of the following functions has a factor of x + 2?

A: given ,         a factor   x + 2

Q: 2. You graph the function f (x)= lx + 21, and your classmate graphs the function g (x)= lx – 21.

A: Given query is to find the similar attributes between f(x) and g(x).

Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: Find (f- g)(1) when f (x)= -3x2 + 4 and g (x)= a- 4.

A: Given :

Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

A:

Q: At what value of x does the function f (x) =x- 3x-9 x change from decreasing to increasing?

A:

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

Q: Find the domain of the function g(x) =1/√(x - 3)

A:

Q: For what value of x does the function g(x) x³ - 2x? attain the point of inflexion? A. x = -1 B. x =…

A: The given function is                                         g(x)=13x3-2x2 We know that the point…

Q: Sketch the graph of the following function 3x2 f(x) = x2 – 4 -

A: Given: f(x)=3x2x2-4

Q: The range of f(x)= 3+|x| is

A:

Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

A:

Q: Find the domain and Range f (x 2 x-3x

A: To find the domain and range

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

A:

Q: If f (x) =ax³+ bx² , determine a & b so that the graph of f will have a point of inflection at (1,2)

A:

Q: The value of the function f(x) = 3x - 7 at 5 is .

A: To find the value of the function

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Find the domain and range of the function. f(x) = 3x

A: Given: f(x) = 3x To find: Domain and range of the given function.

Q: 5. Find the value of the function: If f(x) = 3x + 2x 3, find(-3). f(-3) =

A: We have to find the value of the given function at x = -3.

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain of the given function

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

A:

Q: Is this function odd or even? why? f(x)-3x3+2х

A:

Q: Which of the following is an odd function? a) f(x) = 3x -5x2 - 11 b) f(x) = 3x° -5x3-11 c) f(x) =…

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Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

A:

Q: Find the range of values x for which the function f(x) = 4x³ – 12x2 + 15 is decreasing. a)

A: To find the range of values of x for which f(x) is decreasing

Q: Find the domain of the function. 8 f(x) =- X-14

A: Our Aim is to find domain of f(x)=8/(x-14).

Q: What is the end behavior of the function f(x)=2e^x? Select the two correct answers.

A:

Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: Find x-intercept(s) of the graph of function g(x)=/3x+7-1.

A: gx=3x+7-1

Q: Find all the possible x-values of f(x)=√x - 2

A:

Q: At what value of x does the function f(x) = x³ + 3x2 -9x change from decreasing to increasing? %3D

A: At the local minimum f(x) will go from decreasing to increasing

Q: Find the points on the graph of the function that are closest to the given point. flx) = x2 - 6 -3)

A:

Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

A:

Q: The function p (x) = x° + x* - x + x2 – x + 5 is graphed on the coordinate plane. As X approaches…

A: graph of the function is shown below

Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.