The equation for f is given by the simplified expression that results after performing the indicated operation (x - 5)/(10x - 2) ÷ (x2 - 10x + 25)/(25x2 - 1). Write the equation for f and then graph the function.

Q: Graph the function f (x) = -2x3 + 5x.

A: Given function,                             f(x)=-2x3+5x

Q: Graph the function. F(x) = − 5/6x + 3

A:

Q: Evaluate the function. flæ) = -a² + 5æ - 2 x²+5x- 2 Find f(-4)

A: We have to evaluate the function  f(x) = - x2 + 5x - 2 We have to find f(- 4) Put ,  x = - 4 in f(x)…

Q: State the domain of f (x) = - ex+5  - 6

A: the given function is: fx=-ex+5-6 we have to state the domain of the given function.

Q: Use function notation to write the equation of the line passing through (4, 2) and perpendicular to…

A: The given line equation 4x-2y=8 and the point is 4,2.

Q: Graph the function f (x) = 2x-6.

A:

Q: Graph the function f(x) = -(x- 2) +4.

A: given,         fx=-x-22+4

Q: Write f (x) = -3x² +30x – 69 in the form f (x) = a (x – h)² +k and then graph the function.

A:

Q: Find an equation of the line passing through the given points. Use function notation to write the…

A: Follow next step

Q: If f(x) = 7.5x + 15, find f( - 2).

A: The given function is f(x) = 7.5x + 15

Q: Graph the three zeros of the function.

A: Explanation of the answer is as follows

Q: Write the equation in standard form  F(x)= 4x^2-x+1

A: Given equation

Q: Find the slope of the graph of the function at a given value. f(x) = -3x2 + 8x - 6/x2 when x = 5.

A:

Q: Find the domain and range of the function. f(x) = 7x² + 5

A:

Q: Complete the table. f(x) = 6(x - 2) f(x) 54 1 2 3

A: Given f(x) = 6 (x - 2)2 its is asked to find value of f(x) at x = 0, 1, 2, 3

Q: The number of public elementary and secondary school teachers​ (in millions) in a particular year…

A:

Q: Graph the function f(x) = x2 - 4x - 5 in a rectangular coordinate system. If two functions are…

A: The given function is f(x) = x2 - 4x - 5.

Q: Find the value of f(-2).

A: Clearly from the given graph we can see that when x = (-2) value of the graph is 3.

Q: simplify the right side of the equation f(x)= x2+12x+35 /  x2-3x-40

A: We have to simplify the right side of equation: fx=x2+12x+35x2-3x-40 We need to factorize the…

Q: Which expression reveals the zeros of the function defined by -x + 7x - 12?

A: We have to find expression reveals the zeros of the function defined by  - x2 + 7x - 12  = - x2 + 3x…

Q: Find the domain of the function f1x2 = x2 - 1x2 - 25.

A: Given function: fx=x2-1 Domain : all x Domain set is Interval Notation : (-∞,∞)

Q: Is |3x-1| a function?

A: A relation is said to be a function only when every point in the domain has a unique value in the…

Q: Graph the function. - 5-x x< 1 f(x) = - 3 X21

A:

Q: The population of a city can be modeled using the function P(x)=-35x^2+450x+250 where x represent…

A:

Q: Find the x intercepts of f(x)=4sec(x)+8

A: Given function f(x) = 4Sec(x)+8.X intercepts of any function are the points where the graph touches…

Q: what is the end behaviour of the function  x4-5x2+1

A: Find end behaviour of polynomial function.

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: If f(x) = 2x - 5x+ 1, find f'(3). f'(3) = (Simplify your answer.)

A: This question is related to differentiation,  We will solve it using given information.

Q: Simplify the difference quotient ƒ1x2- ƒ1a2 /x - a for the following functions. ƒ1x2= x3 - 2x

A: It is given that  f(x)=x3-2x.

Q: the perimeter of a rectangle is 190 inches, if the rectangle is x inches long, find the function for…

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Q: -3 -2 3. 2. 2. 2.

A:

Q: If f(x)=-5x²+3x-2, find 13) f(1) *

A:

Q: Find the domain of the function : √(x-3)

A: We have to find the domain of the function: x-3 We know that inside square root only positive value…

Q: Graph the function f (x) = = × - 7.

A: We can graph the function as below.

Q: y -6 -4 -6 2.

A:

Q: Graph the function f(x) = 5(5)"

A: To graph the function

Q: Graph the function f (x)= 2x- 7.

A:

Q: Graph the equation f(x) = – 4 by completing a table of values. 4 3 1- -5 -4 -3 -2 -1 2 3 5 -1 -2 -3…

A:

Q: Graph the function f(x)= -3(x)^x +7

A: The given function is  f(x)=-3(x)x+7

Q: Find the function f(x)=4x-5 if the domain is {-2,-1,3} what is the range

A:

Q: Simplify f(x-2)=√x+2 +8

A: We need to simplify the expression, f(x-2)=√x+2 +8 .

Q: -4x + 5 f(x) = -10x – 1

A:

Q: a) f(x) = ÷(2³x-6) –

A: The graph of a function is the collection of  ordered pair of points (x,y) in the cartesian…

Q: Find the domain and range of the function and sketch it: 2x2 y -1

A: First find the domain.. Denominator is not equal to 0 then find the zeroes and poles.. Then find the…

Q: if f(x) = 4x2-3x-1, find the difference quotient

A: Given,

Q: Classify the function as a linear, quadratic, or exponential. f(x) = 8x-7

A:

Q: Use the graph of f(x) = x3 to write an equation for the function represented by 1 3 (a) g(x) = %3D y

A:

Q: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

A: The function f(x) = 12x gives the number of inches in x feet and g(x) = 3.28x gives the approximate…

Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: -x10+3 8 (x) = Vlx|+2x2

A:

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.