Let f(x) = (x²-4x+1 if x < 2 √x-2 if x ≥ 2 Sketch the graph of y = f(x). -8-7 -6 -5 -4 -3 2 Clear All Draw: 8 7 160 5 4 3 2- نما A + -2 -3 -4 -5- -6 -7 -8 2 3 4 5 6 7 8 //0 N O

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: When the quadratic function f is graphed in the xy-plane, where y = f (x), its vertex is (−3, 6).…

A:

Q: 3r²-7r-6 lim r2 - 9 6.

A: We have to evaluate the limit 11) limx→33x2-7x-6x2-9 12) limx→25x-25x-5

Q: Let Find the values of y = f(x) = 10x³ + 3x - 3. Y₁ = f¯¹(x)|x=83, Y2 = f¯¹(x)|x=-899 Y3 = f¯¹…

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Q: The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

A: Introduction :

Q: f(x)%3DX²-2x+5

A:

Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: 13

A: Given query is to find basic function and then transformed function.

Q: Find the maximum value of (7 - x) (2 + x)5 when x lies between -2 and 7.

A: f(x)= (7-x)4(2+x)5

Q: x2-x-6 1. Find V.A, HA, x- intercept and y-intercept for r(x)= x2-2x-3 ) V.A (ii) H.A (iii) x-…

A: (i) Vertical Asymptote: A vertical asymptote for a function f(x) is a vertical line x = k  where the…

Q: Evaluate f(x+h)-f(x) h , given f (x) = 5 x+2 Use a / to represent a fraction line. Do not include…

A: The function is given byTo determine: The expression of .

Q: maximum number of turning points possible for the function f(x) = 9x* + 2a³ – 6x – 5, is

A:

Q: -3x+6 The horizontal asymptote and the vertical asymptote of the function y = are (the two equations…

A:

Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: Find - f(x) when f(x)=2x²-3x+2 OA 2x²+3x+2 OB-2x2+3x+2 OC -2x² + 3x - 2 OD 2x²+3x-2

A: given   f(x)=2x2-3x+2

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

A:

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: 7) Write the quadratic function, f(x)=x²-2x-8 in vertex form and then find all of the following: a.…

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Q: The Range of the quadratic function f(x) =-² +24r + 55 is O (-55, 12] O (-00, 55] O [55, 00) О (),…

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Q: 6. If f {(1,-3)}, (a) find the domain and range of f. (b) find g(r) = f(r+2). (c) find h(r)=…

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Q: Sales y (in thousands of dollars) decreased steadily then increased steadily, as shown in the graph…

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Q: 7. Sketch a graph of the function: f(x) = (x- 2) (x + 3) (x - 1) a. Find the x-intercepts, zeros of…

A: Solve the following