1) Shifts and relfectdions: Let f (x) := x’. Then do the following graph f(x) and f(x+2) in the same coordinate system (carefully choose x and y range) • write a comment about what relates the two graphs. graph f(x) and f(x) – 3 in the same coordinate system (carefully choose x and y range) • write a comment about what relates the two graphs. graph f(x) and f(-x) in the same coordinate system (carefully choose x and y range) • write a comment about what relates the two graphs. graph f(x) and -f(x) in the same coordinate system (carefully choose x and y range) • write a comment about what relates the two graphs. graph f(x) and -f(-x) in the same coordinate system (carefully choose x and y range) • write a comment about what relates the two graphs. Now try to shift the graph of the function other ways. For example shift it to the right by 3, shift it to the left by 4, shift it up by 5, and shift it down by 6. 2) Define the absolute value function g(x) := abs(x). Repeat some of the steps from problem 1

Q: 3. Determine an equation that may represented by the graph shown below. A) f(x) =-1+VT – x B) f(x)…

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Q: Which one is the graph of ​f(x)=x2​? What is its​ domain?

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Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: 6. Create a graph of the function: y = x(x – 2)²(x + 1) -

A: Graph of functions is given.

Q: If f(4) = 19, then the point (4, is on the graph of f.

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Q: Below is the graph of y f(x). Graph y=-f(x).

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Q: A Ferris wheel loads passengers at a height 2 meters above the ground and carries them to height at…

A: We have to draw the graph of height function.

Q: If ƒ(7) = − 12, write an ordered pair that must be on the graph of y = f(x + 11) + 10. 4

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Q: Sketch the graph of f.

A: To sketch the graph of f(x) = x + 4x2 - 4

Q: f(x) = 4 %3D f(-1) =

A: We have f(x) = 4. So,           And f(-1) = 4.

Q: elect all graphs which represent y as a function of x

A: Vertical Line test: If a vertical line intersects the graph in all places at exactly one point, then…

Q: The graph of f(x) = -4(0.45) is given below (click on graph to enlarge): Let g(x) be the reflection…

A: Given the graph of fx = -40.45x is

Q: Identify the graphs (a)–(d) (see attached) in which y is a function of x.

A: We have the graph,

Q: if f(x)= x2-3x-2 which graph could represent f(x)?

A: The given function is fx=x2-3x-2. Draw the graph of the given function. Here we use quadratic…

Q: 1. If the graph shown below is the graph of y= f(x), give the domain and range of y= - f(x+2)- 3.…

A: The domain of x is all real numbers. And range of f(x) is (-infinity , 0 ] y=f(x) moved 2 units to…

Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x&gt;-4 For drawing graph of given function, we will use graphing calculator

Q: Use the graphs of functions f and g to answer the problem. (f. f) (-2) (f. f)(-2) = X f(x) y -X

A:

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: g(x) 2

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Q: Draw the graph of the function f(x)=(2)15

A: This is a problem related to graph of the linear equation. Based on the intercepts value we will…

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.