Imagine yourself as a teacher. Explain how the graph of the function f(x) = ax +b depends about different values of a and b. (assume that your students listen this class for the first time) Can the graph of the given function ever be the y axis? What are the similarities and differences between the given function and the equation ax +b = 0?

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

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Q: Diego wrote f(x) = +2) (x-4) as an example of a function whose graph has x-intercepts at x =-4, 2.…

A: for finding x intercept set f(x)=0

Q: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

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Q: A candy factory needs a box that has a volume of 30 cubic inches. The width should be 2 inches less…

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Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=f-2x

Q: Write an equation for the function graphed below 5+ 4 3. 2- -7 6 5 4 3 4 -1 -2 -3 -4 y =

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Q: Describe the concavity of the graph of f(x)=(x-2)5/3 And find the inflection points(if any)

A: See the attachment

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=f(-x)-2

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

Q: What is the domain and range of y= 2-x Is it a function?     Please provide solution thanks!

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Q: According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its…

A: Given :  Population in 2011 is 2145,000 which is increase of 2.2% compared to the 2010 Let…

Q: Suppose that the graph of a function f is known. Explainhow the graph of y = f1x2 - 2 differs from…

A: How the graph of y = f1x2 - 2 differs from the graph of y = f1x2 - 22. The graph will be same but…

Q: how do you find the coordinates to plot on a graph for the functions: C(x)= 420+2.10(x) R(x)=…

A: C(x)= 420+2.10(x) This can also be written as y = 420 + 2.1x. To find the coordinates, start by…

Q: Describe the concavity of graph the of f(x)=(x–2)5/3 and find the points of inflection (if any).

A: We have to define concavity and find the points of inflection.

Q: What graph models the function f(x) = 4(2)x?   just show what the graph would look like.

A: We have to draw the graph models the function f(x) = 4(2)x  And graph is looks like a curve which is…

Q: Sketch the graph of the function by first making a table of values. fx) = -x + 4, -4 sxs 4 f(x) = -x…

A: Given: F(x)= -x+4

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: Explain how you would graph the function f (x) = -(1/3)x.

A: We have to draw the graph of exponential function: fx=-13x We know the graph of fx=13x,

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

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Q: The graphs of f(x) = ∣x∣ + 6 and f(x) = ∣−x∣ + 6 are identical.Determine whether the statement is…

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Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair…

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Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: If the graph of y=fx is given. Thus. to find the graph of the function y=-fx+4-2 Apply below points…

Q: Describe the x-values at which the function is differentiable. x2 y = x² - 4

A: Given: y=x2x2-4, To find: The value of x at which the function is differentiable.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

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Q: explain why knowing the end behavior of the function f(x)=-4x/2x4+2x3-24x2 is the key to graphing it…

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Q: I need to graph the function y=4^x

A: We have to draw the graph of the function y = 4x

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=-12f(x)

Q: How can you tell from the equation g(x)=8(1/2)^x that the graph of the function decreases

A: Given function is  g(x)=8(1/2)x

Q: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

A: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

Q: For Exercise, use the graph of y = f(x) to graph the given function. -3--y = f(x)- -5-4-32-1 y = f(x…

A: means the graph f(x) moved 2 units to the left, 3 units down and shrank by 1/2 vertically. So the…

Q: draw the graph of the function f(x)= 2x+3 b) translate the graph down 4 units and draw the new…

A: a) draw the graph of the function f(x)= 2x+3 b) translate the graph down 4 units and draw the new…

Q: Describe the relationship between the graph of ​f(x)=x2−2x+4 and the graph of y=x2

A: To determine: Ther relation between the graphs of given two functions. Given equations:…

Q: 5 4 3 1 -5 -4 -3 -2 1 3 4 -1 -2 -3 -4 -5

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Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: y=3fx-1

Q: Explain how you test if the graph of y = f () is ncreasing or decreasing.

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Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: Consider the given information. The given function is y=f(x). We have to compere the graph of…

Q: The revenue for a manufacturer of compute printers is given by the equation R= x(30-0.4x), where…

A: Given: The revenue for a manufacturer of computer printers is given by the equation R= x(30-0.4x),…

Q: I have to graph the function f(x) = -x2 + 5. Then I have to use the graph to identify the domain and…

A: Lets make a table for f(x) = -x2 + 5 We pick any few values for x, then find y for those xs.

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: When the graph of f(x) is shifted c units to left, the graph of the function is given by f(x+c)…

Q: The graph of a certain functionf has slope 4x³ – 5 at the point (1,2). Find the function f.

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Q: The domain of the function, y = 3x + 1 is {1, 3, 5, 7}. Identify the range

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Q: The range of the function fix, y) = 4 - 4-x- is (2, 0) [4, 0) [2, 4] (-0, 2] (-00, 4]

A: Z = f(x, y) = 4 - √(4-x2-y2)   The domain of the function is; D:   0 ≤ x2 + y2 ≤ 4    The range: x2…

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

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Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: Given:           y=f12x−3

Q: If I spend $5 on supplies and sell lemonade at $0.50 per glass how do I determine the number of…

A: Let us say that x is the number of glass and y is the money earn.

Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: Kiran wrote f(x) = (x – 3)(x – 7) as an example of a function whose graph has x-intercepts at -3,…

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Q: Find the point of inflection of the graph of the function. f(x) = 2 – 7x4

A: Consider the given function y=fx=2-7x4 First, find the first derivative of the function…

Q: Explain how the graph of the function compares to the graph of y = f (x) .

A: Concept - For example i have a function f(x). If there is an addition of 'a' unit in x of the…