If f is a linear function for which f(2)= -7 and f(-2)= 13. Find f(4)

Q: In economic theory, we let x represent the number of items (called demand) a supplier will produce…

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Q: The US Department of Health conducted a survey for the years 1985-2018 regarding the use of…

A: The by-product of a characteristic of a actual variable in arithmetic describes the sensitivity of…

Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: Suppose that f is a linear function with slope -3 and that f(2) = 6. Find the equation for f. (Use x…

A: Equation of a linear function: f(x)=mx+c ..............(1) where: m is the slope and c is the…

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

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Q: Find the point at which the line f(x) = - 3x 3 intersects the line g(x) = - 2x

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Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

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: 2X + 5YZ  is NOT a linear function. True False

A: In general the linear function can be written as fx=mx+b where m is slope and b is intercept. The…

Q: The z-intercept of the linear function

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Q: write a linear function f with f (4) = -3 and f (0) = -2

A: Given: Write a linear function f with f(4)=-3 and f(0)=-2. Any linear function is of the form…

Q: If line p represents the function (x) = 3x- 5, line represents f(x). %3D

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Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

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Q: The function f1x2 = x2 is decreasing on the interval

A: fx=x2 Differentiating with respect to x, we get f'x=2x

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: 2x³y- Е 2у + 5 y 3.

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Q: the piece wise linear function f(x) is shown to the right.

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: Find the linear function with the following properties.

A: A linear function is in the form of y = f(x) = mx+c where m is slope and c is y-intercept.

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: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: (d) Differentiate the implicit function below. y 3 + y = 2x2 +4

A: dy3+ydx=d2x2+4dx dy3dx+dydx≡d(2x2)dx+d(4)dx 3y2dydx+dydx=4x.

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

A: For function to be continuous

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A: Revenue, R(x) = Price x Quantity Hence, R(x) = [-(1/5)x + 50]x = 50x - (1/5)x2

Q: i. Find the equation of a power function through the points (2, ) and (, 8). y ii. Now, find the…

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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: Graph the linear function:

A: Graph of f(x)=35x+1 x f(x) 0 1 1 1.6 2 2.2 -1 0.4

Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: (d) Differentiate the implicit function below y³ + y = 2x² + 4

A: Given y3 + y= 2x2 +4

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

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

Q: Find the equation of the linear function whose graph is given here. Use the letter x in your answer…

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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: The graph of f is perpendicular to the line whose equation is 3x - 2y - 4 = 0 and has the same…

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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 where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

Q: What is the implicit function of(x+y)^2=20

A: Given, (x+y)^2=20

Q: Suppose that f is a linear function such that f(1)=12 and f(-2)=-3. Find the equation for f.

A: Linear Function: A linear function has the form y = f(x) = ax + b. A linear function has one…

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Suppose that f is a linear function with slope -2 and that f(2) = 6. Find the equation for f. (Use x…

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

A: Linear function

Q: Write an equation for a linear function whose graph has the given characteristics. Passes through…

A: Given query is to find equation of the line.

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

A: We have to find linear equation for given data.

Q: Suppose f(-3) = -8 and f(-1) = 2. Determine the linear function represented by these values.

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

A: Consider the given function.

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.