Use the Vertical Line Test In the following exercises, determine whether each graph is the graph of a function.

Q: y 10 5 4 3 4,

A: From the given graph

Q: Use the Vertical Line Test to determine whether the graph represents y as a function of x.

A: We have to use the Vertical Line Test to determine whether the graph represents y as a function of…

Q: D- for the function below, the domain and the range is respectively y = x²/5

A: To find the domain and range of the given function :-

Q: Use the graph to evaluate the following expressions: a. f(4) = 2.5 Preview b. f-'(1) = 2 * Preview…

A:

Q: You went to your favorite school supplies store and used your P50 - off coupon. Then, you went to…

A: Given that i went to school supplies store and used 50 Pound offer coupon on an item. Then i went to…

Q: . Use the vertical line test to determine whether the graph is a function. Write yes or no on the…

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Q: For Exercise, graph the equations and functions. f(x) = + 2

A:

Q: The function is x % = y? What is 8 2 dude Y æ2

A: We need to find derivative.

Q: In the following exercises, use the following graph of the function y = f(x) to find the values, if…

A: The graph of f(x) is as shown below :

Q: How would I  (a) Find the domain of the function? (b) Sketch the domain of the function.

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Q: la)Explain why the function fIz)= 52%_6+zcosz-z°e? is entire?

A: (a) given fz=5z4-6+zcosz-z3ez to show- the function is entire

Q: For Exercise, graph the function. f(x)

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Q: Q4, sketch the graph of the function 3. |- x7 us =B

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Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

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Q: Use the graph of the functionf to find f(6)

A: To find f(6) , we have to find the y value at x=6

Q: Ryan plants a 7-inch tomato plant in his garden. The plant grows by about 14% per week for several…

A: Height of plant at the time of planting is 7 inch.h The plant grows 14% per week. Height of plant…

Q: -2 /- 1O 2.

A:

Q: Graph the function. 20) y = csc x 2 20) IN

A: We have to graph the function

Q: For Exercise, graph the function. 2x* v(x) x² + 9

A:

Q: Translate the task “solve C(x) = 3500 for x” into a task involving the graph of the function.

A: Let C(x) represents the cost of producing x units of a certain product. So for the task, to solve…

Q: Use the vertical line test to determine if the graph is a function. 2- -6 4 2 Is this the graph of a…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: The x intercept of the linear function f(x) = at -x+7 is 24 8 48

A:

Q: Q2) find the domain and range to the function y=x+1, y=2r² +3

A: 1) Given that, y=x-1 Domain: x can have any positive value or zero for real values of y. Hence…

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

A: y=-12f(x)

Q: What is the range of the function y=x^2 - 6?

A: We have to find range

Q: For Exercise, graph the function. x² + 2x + 1 |k(x) =

A: We find the vertical asymptote by setting the denominator equal to 0.  So, x=0 is a vertical…

Q: Use the graph to evaluate the expression.   (a) f(1) (b) f^-1(1) (c)f^-1(4)

A: (a) The curve passes through (1,1), so when x=1, y=1 Therefore, f(1)=1 (b) x=f-1(y). Again,curve…

Q: Differentiate the function.  S(R) = 4 pie R2

A: S(R)=4πR2To do:Differentiate

Q: For Exercise, graph the function. –4x – 3 for x < 0 f(x) = for x 2 0

A:

Q: Junior is saving money in his piggy bank, He starts with 10 cents and adds two pennies each day.…

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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: Where is the function y=−3|x+5|−7 decreasing

A: Graph the given equation as shown below:

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

A:

Q: Sketch the graph of f′. Explain how you found your answer.

A: Given,

Q: For Exercise, graph the function. -3 п(х) 2x + 7

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Q: Find the domain of the function. √-x-3 Write your answer using interval notation.

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Q: For Exercise, graph the function. 12 q(x) = x + 6

A: To find the vertical asymptotes we set the denominator equal to 0 So this function does not have…

Q: Amanda sells homemade birthday cakes for a profit of $39 per cake. She is considering switching to a…

A: The given data is: Amanda sells homemade birthday cakes for a profit of $39 per cake The profit…

Q: Try it!! Find the domain and range of the function graphed below. 5+ 4. -5 -4 -3 -2 -1 4 -2 -4+ -51…

A: We can make it easier for you

Q: Students sold 458 cups when temp was 25 they sold 534 cups when temp was 29. Write an equation in…

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Q: Q3: Sketch the function y = 2* , and sketch the graph of y = 2-* - 5

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Q: 3x ? What are the x-intercept and y-intercept of the function fx =-

A: Given : fx = 3xx2-9

Q: For Exercise, graph the function. ( h(x) 4x + 3 Зх — 5

A: Given function: h(x)=4x+33x-5

Q: Sketch the graph of f′. Explain how you found your answer.

A: Consider the given graph as

Q: Suzanne has a $30 credit on an online music site. For each MP3 she downloads $1 is subtracted from…

A: It is given that, Suzanne has a $30 credit on an online music site. for each MP3 downloads $1 is…

Q: For the function as a whole: what are the x-intercept and y-intercept? (In the form of an ordered…

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Q: Explain the end behavior, find the x-intercept(s), state whether the graph crosses the x-axis or…

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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.