If f(x) = x-1, what is the ordered pair for x = -2 ?

Q: (-x + 3, if x 3 (0,

A: Note :- these are multiple questions and according to our company guideline we can do maximum one…

Q: If f( x) = x² , what is f'(x)?

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Q: Find (f ∘ f )(-1).

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Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

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Q: Find the point at which the line f(x)=3x-6 intersects the line g(x)=-4x+1

A: f(x)=3x-6 g(x)=-4x+1 let us calculate point of intersection of these two lines by f(x)=g(x)…

Q: Graph the function. 2, for x 3 f(x) = x -9 2. for x#3 x-3

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Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: What is the equation of the line passing through the vertices of the graphs of the functions f(x) =…

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Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

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Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

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

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Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: If f(x) = /x – 1, which shows fx)?

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Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: The sum of two positive numbers is 210, then the function that models the product of the numbers is…

A: Let x be a positive number Given that: Sum of two positive numbers = 210

Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

Q: If f(x) = 5x' +x²+ 4, then f(-2)- --

A: Given : fx = 5x3+x2+4

Q: Graph the step function. 0 < x < 1 1 < x < 2 1, 3, if 2 < x < 3 if 3 < x < 4 if if 7. f(x) = 4, 6,

A: Please refer the attached image for complete solution.

Q: Suppose that f is a linear function with slope 3 and that f(2) = 4. Find the equation for f. (Use x…

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Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (-…

A: Given that the function is      y = f(x) = 4x3-6x2-72x+30 Here we have to find the interval in which…

Q: If f(x) = x-4 and g(x) = √x-2; then what if equal to (f/g)(x) ?

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Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: If f(x) = ax + b with a + 0, how are the zero of f and the x-coordinate of the x-intercept of the…

A: To find x-intercept of a function f(x), we put f(x)=0. To find zeroes of f(x), we put f(x)=0. i.e.…

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: If f(z) = 19z+ 24, find f'(-3).

A: Here, the given function is: f(x)=19x+24

Q: Find the point at which the line f(x)=−x−4 intersects the line g(x)=5x+14.

A: On solving this we will get

Q: If f(x)= 2x²and g(x)=3x+1, what is f(x)+g(x)?

A: Solution is written in below steps.

Q: x + 2 f(x) = x2 - 2x - 8 : ---Select-- ---Select--

A: Given query is to find the value of x where function is discontinuous.

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: line to the functions: f(x)= v2 – 3x at x= -2 -

A: Definition used -                 Equation of a tangent to a point x= a for a function f(x) is…

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

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Q: If f(x)=7-2x+x^3, find f(-y)

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Q: Show that the function f (x) = x* + 3x + 1 has exactly one solution in the interval [-2, -1].

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Q: Find the value of the constant k that makes the function continuous. 2x - 3x- 20 if x#4 g(x) = x-4…

A: A function f(x) is continuous at a point x = a iff:

Q: If f(x)=2^x -1, what is the value of f(2)?.

A: From the given problem:   fx=2x-1   So, at x=2 we can write as:   f2=22-1

Q: What is the linear function of f(x)= -1/2x

A: Linear function

Q: Given the piecewise defined function: 2x - 2 if x 2

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Q: The function, f(x)=1.8x+32f(x)=1.8x+32, is used to convert temperature in Celsius temperature, xx,…

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Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

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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.