For each of the following functions perform the following: a) State the domain and range in both interval notation and inequality or set notation b) Give the intervals where the graph is increasing, decreasing, or constant c) Decide if the function is even or odd and if so give the symmetry it displays d) Write an equation that could match the function pictured e) Find f(-2), f(0), and f(3) f) Evaluate: f(O=2 and f()0 g) Sketch-f(x) h) Write an equation if the original function f(x) was shifted left 2 and dilated by a factor of 2 1. 2.

Q: Determine the domain and range of the function using the graph below: 15- 14 13 12 10 6- 4 2 -5 -4…

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Q: For the graphs, state the domain and range in interval notation

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Q: find the domain and Range for the functions FCx) from the graph below! y, 3 -2 • 3 1

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Q: Find the following for the graph below. A(-3,4) -5 -4 -3 -2 -1 a.) Domain: b.) Range: c.) f(-3) =…

A: Since you have asked multiple part question, we will solve the first 3 parts of the question for you…

Q: a) Graph f(x). b) Find f(1). Show it algebraically. c) List the x and y intercepts. Show it…

A: the objective is to write the equations represented in this piecewise function graph.

Q: Evaluate h(-4) when h(x) = x2 + 8. %3D Answer: h(-4) %3D

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Q: 4. Indicate whether each graph specifies a function: (A) (B) (C) M 5 (D) -5

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Q: Find the specified function values using the function. a) g(-7) b) g(2/5)

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Q: Use the given graph to find each of the following. a) the zero of the function b) the x-intercept…

A: The zero of a function is where .The -intercept is the point where the curve intersects the…

Q: 4. Given the function fx)={x+3} -5 complete the following: a) Graph f(x). (1.5A) b) Write an…

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Q: V5. 1 Determine the value of x using the diagram provided.

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Q: 1) y = 4cos 30 2) y = 3sin 0 2

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Q: Use the given graph of function f to solve: For what values of x is the function undefined?

A: To determine the values of x for which the function is undefined using the graph of f.

Q: for x<-1 f(x 2 for x -1

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Q: determine an equation for the polynomal function represented in the table of values:  x y -3 0 -2…

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Q: Consider the graph below: y 100 90 80 70 60 50 40 30 20 10 6 12 18 24 30 a) Is the graph increasing…

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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: