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: Graph the equation f(x) = x2 - 1, x ≥ 0, and f -1 in a rectangular coordinate system. If two…

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Q: 1. Match each function on the left with its corresponding domain and range. Write the cor letter…

A: 1) Graph is negative and positive x-axis and positive x-axis. So, option A is correct. 2) Graph is a…

Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: Move the sliderk so that the graph of y = 2" gets shifted up 3 units. Then type the new function,…

A: We have to slide the k such that graph shifted 3 unit up.

Q: The function y = f(x) is transformed to become the function g(x) = 4f(b(x - 5)). The point (4,6) on…

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Q: Below is a graph of the function g(x). 6+ 5- 3, -9 8 -7 -6 -5 -4 -3 -2 -1 Identify whether each of…

A: We need to identify whether each of the values below is positive, negative, or zero. a) g'(-6) b)…

Q: Choose the function that represents this graph: 10 -5- -10 -5 10 -5- -10 O y = 4× O y = 5(4)* y =…

A: Here we will find the function for the given graph,

Q: let f (x) =ex-1+3 which is the graph of x?

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Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

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: Consider the equation y=x^3-16x^2+2x-4 a. Determine all intervals over which the graph is concave…

A: For a function y = f( x ) For concave up f''( x ) > 0 For concave down f''( x ) < 0  Given…

Q: Choose one value that is in the domain of both y(x) =x2 and y2 = x and that is greater than 0.…

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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…

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.