Our goal is to use function notation to represent the total fuel cost, in terms of the distance (in miles) of the trip. In doing so we first need to define a function, f, to determine the volume, v, of gasoline used in terms of the distance, d, of a trip. a. Represent v using function notation. v = f(d) Preview b. Define a function f that determines the volume of gasoline used in terms of the distance, d, (in miles) of a trip. v=f(d) Preview c. Define a function g that determines the fuel cost, c = g(v), in terms of the volume of gasoline used on the trip. f(g) Preview f(g) syntax error: this is not an equation d Dofino o finotion a thot dotorminog the fuel oost al fla)) in torng of the volumo of cogolino fld) uged on the trin

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: Given a function f, explain the difference between f(3) and f(x) = 3.

A: In f(3), 3 is in domain of f(x) and f(3) is value of a function f(x) at x=3.

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Q: Sketch and Translate the given function, if f(x) = (1) y = f(x) +3 y = f(x-3) (ii)

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Q: Which type of function is shown in the table below? f(x) 8. 3 10 4 12 14 6 2. 5 1.

A: First assume function and verify for every data

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A: Explanation of the answer is as follows

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Q: Which type of function is shown in the table below? f(x) 1 40 80 160 320 5. 640 2. 3. 4,

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Q: For Exercise, determine the domain and range of the function.

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Q: Explain what it means for a function to be (1) and give an example of such a function.

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Q: 寸 中 4 -2,2) R.2 (2,1) 4. 4-

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Q: Input, x -3 3. 6. 9. Output, y 11 -1 -7 -13

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Q: Write a function rule for the table. Days Cost to Rent a Truck 1 34 2 57 3 80 4 103

A: In the question we have to write the function from given table.

Q: Input, x -3 3. 6. 9. Output, y 11 5 -7 -13

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Q: Input, I Output, y - 10 -8 -6 -2

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Q: How do you determine if a relation is a function?

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Q: Give an algebraic example of a function whose domain is (-0, 5) U (5, ∞).

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: