The function f where f(x)=x² -4, is defined for all real values of x (The domain can be any real number) (a) Find the values of f(-3),S(-2). S(-1), S(0), S(1), S(2). S(3). Hence complete the table -3 -2 -1 1 23 f(x) -3 (b) Plot the points (you can use graph paper) and draw the graph of f(x)=x²-4 (c) Use your graph to write down the range of y=f(x). (Remember you can input any value of x.) (d) Write down the solutions of the equation x² -4=0. That is the values of x for which ƒ(x) = 0 (e) Explain why f is a many-to-one function and not a one-to-one function.

Q: (x-4)(x-3) Determine the points of discontinuity for the function f(x): = (x-3)(x+2) a. (3.- 1/3) 5…

A: To determine the points of discontinuity for the function f(x)=(x−3)(x+2)(x−4)(x−3)​ , we need to…

Q: For the function y=x-1, graph the points with the domain of {0,4,6,8,9}

A: Domain: Set of values of x or independent variable for which the value of y or dependent variable…

Q: Find the x-value(s) of the vertical asymp- tote(s) for the function. If there is more than one…

A:

Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

A:

Q: For the function f(x) = 7x² - 3x + 2, f(x+h)-f(x) h evaluate

A: f(x)=7x2−3x+2

Q: f(x)=(x-0)? + (-8) Ay -10-8-6 4 -2 2 4/68 10 -2- -4- -6- -10- -12- 14- -16 Domain: Range:

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Which function is best represented by this graph?

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Q: Find (f + g)(1). f = {(1, -2), (0, -1)} and g = {(5, 0), (1, -3), (2, -4), (-2,4)}

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Q: 6.) Evaluate f(-3) for f(x) = x³ + 3x + 17

A:

Q: If(5, –2) is in the function f (x), then which of the following points will be in the function f'…

A: Given that (5, -2) is in the function f(x). So, we have f(5) = -2 and hence f-1(-2) = 5. Thus, we…

Q: Given the function y = f(x) = (x − 2)(x + 5)(x-7) ts y-intercept is Give the y-intercept as an…

A: The given function is

Q: Let f(x) = - 2x +7 and g(x) = x - 2. Find g(2) - f(2). g(2) – f(2) =

A:

Q: Find the domain of f if 2x + 1 f(x) = 2x2 – x – 1

A: Given: fx=2x+12x2-x-1 Domain of a function is set of all values of x for which function is defined…

Q: Find the vertex of the function: y = 2Vx + 9- 2 O (9,-2) O (-9,-2) O (-9,2) O (9,2)

A:

Q: 3. Find the domain of these functions. (a) y = √3x + 4 x+5 (b) y = 5x-2

A: a) y= √(3x-4)b) y= (x+5)/(5x-2)We have to find domain of above functionsDomain: set of  all value of…

Q: Use the graph of f(x) = √x to write an equation for the function represented by each graph.

A: Solution:Given  f(x)=xFormula:y=x-a+b

Q: (-5-х-4):(-2-х-9) Let f(x) = (4:x-2)-(5.x+3) Indicate which of the following points x are in the…

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Q: Let f(x)=x² -x+2 and g(x)=2x – 1, find each of the following: a. (fg)(x) and identify its domain b.…

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Q: Use f(x) = 2x - 8 and g(x) = 4-x´ to evaluate fAg(-1)). %3D Find f (g (x)) for f (x) = 7x + 7 and…

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Q: Find the intercepts and range of the function f(x) = 4x2. 4. Instructions: Type the x-intercept with…

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Q: Use the zeros to graph the function y=(x+1)(x-5)(x-4)

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Q: 4) Plot the function V2 – x² , also find the domain and range of the function.

A: Let y = 2-x2, then we have to find the values of x that make the expression meaningful and the…

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain…

A:

Q: F={(2,6) (3,8) (4,5)} and g(x)=3x+5 f(4) + g(4)

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.