Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a linearfunction? If so, what is the slope of its graph?

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Find a possible equation for the linear function with the given values. \y -1 2 1.5 0.5 3.5 3 2.5…

A: Let f(x,y)= ax+by+c is the function

Q: let f(x)=0.5x2-5 find the slope of the secant line through (2,f(2)) and (4,f(4))

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A: Water freezes at a temperature of 0° on the Celsius scale and 32° on the Fahrenheit scale. Water…

Q: Let f (x) = Vx. %3D Find the slopem and the point-slope equation of the line tangent to the graph of…

A: If a function gx represents a curve then g'a represents the slope of curve at x=a.

Q: Find a possible equation for the linear function g(x, y) shown in the graph below:. 1.0 4,0 -3

A: The graph is given by:   Figure:1

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A: According to the given information, Number of units purchased each week = 138 units Price of one…

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Q: What is the slope of the linear function given the following table?

A: Solution: The objective is to find the slope of the linear function from the given table

Q: Based upon market research, the Hawthorne Company has determined that consumers are willing to…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: The graph of y= fx) is shown. 15 The graph of the gradient function, f(x), could be f(x)

A: We have to find f’(x)

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Q: Which of the following does NOT represent a linear relationship?

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Q: Suppose f is a linear function such that f(3) = 3 and f(6) = 18. What is the slope m of f?

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Q: Given that f and g are linear functions, where: f(x) = ax + b g(x) = cx + d Is foga linear function?…

A: Consider the linear function f(x) = ax + b,  The slope of the graph of f = a

Q: If (0,8) is the y-intercept of f(x) and the slope of f at x is m(x)= 4x/(x^2+1)^3, then what is…

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Q: 1 Rewrite the following equations in point- gradient form: a -x+ y = 2 b y-3 =-2(x – 8) 1 2x +4y =

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Q: Give two distinct linear functions ƒ and g that satisfy ƒ'(x) = g'(x); that is, the lines have equal…

A: It is given that fx and gx two distinct function.

Q: Does the equation below define a linear function? 3 y = - when x 0 %3D --

A: A linear function have Straight line graph Equation as y=mx+c ,where m is the slope of straight…

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

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A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: Data from 2005 for various age groups show that for each $100 increase in the median weekly income…

A: Let W denotes the median weekly income for whites and B denotes the median weekly income for blacks,…

Q: The number of people afflicted with the common cold C in the winter months steadily decreased by 212…

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Q: Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total…

A: Given Oil reserves in 2014 are 1820 billion barrels Total reserves are decreasing every year by 25…

Q: • If y is a linear function of x, then the coefficient of x is the slope of the line created by…

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

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Q: 1) Find the function rule for a linear function G(t) where t is the number of years since 2019 and…

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Q: If f(x) =x+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: the early 1970s through 2010 in the us, the enrollment of 3-4 year olds steadily increased in 1970…

A: Hi

Q: find a linear function that models the relationship between the two variables and describe the slope…

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Q: 2) An advertising executive has found that there is a linear relationship between the monthly amount…

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Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy=…

A:

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A:

Q: Celsius scale and 212° on the Fahrenheit scale. Express the Celsius temperature C as a linear…

A: Water freezes at a temperature of 0° on the Celsius scale,32° on the Fahrenheit scale. Water boils…

Q: A company is planning to manufacture snowboards. The fixed costs are $100 per day and total costs…

A: Given: total cost per day = 5,300 fixed cost per day = 100 daily output = 20

Q: Suppose f is a linear function such that f(3) = 6 and f(9) = 1.2. What is the slope of f?

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Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the gradient of the graph a) y = 6-3x where x = 5 )y= 12 + x-3x? where x = - 3

A: Find the gradient of the function

Q: Find the gradient at that point on the curve of y=2x2 - 3x +1where x=1.5. For what value of x will…

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Q: Sketch the graph of y=2x² - 8x. a

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Q: Solve: Apartments. In the Highland area, a 740-square-foot apartment rents for $475 per month. A…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,…

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Q: Let f (x) = Vx. Find the slope m and the point-slope equation of the line tangent to the graph of f…

A: Consider the given function fx=x Suppose m be the slope of the line tangent to the graph of the…

Q: A company is planning to manufacture snowboards The fixed costs are $400 per day and total costs are…

A: Given:

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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.