Let ƒ(x) = x² – 4, g(x) = x² + 4, and h(x) = x + 5. Without a calculator, match the functions in (a)–(f) to the descriptions in (i)–(viii). Some of the functions may match none of the descriptions. f(x) g(x) g(x) h(x) (а) у — (b) у 3 f (x) g(x) h(x) (c) y= f(x) h(x²) h(x) (d) y = f( (е) у (f) y 1 (g) y = (h) y = f(x)· g(x) (x)6

Q: The function f(x) = 11 – 7x has an absolute maximum value of and this occurs at x equals

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Q: Suppose f(x)=x4+3x+1f(x)=x4+3x+1. In this problem, we will show that ff has exactly one root (or…

A: Solution Given:-         fx=x4+3x+1         Interval -5, -1

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Q: The critical points of the function f(x)= 3x -36x+1 are

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Q: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

A: Suppose z is implicitly given as a function of x and y, according to The equation: y−zx3=1−yz2 The…

Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

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Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

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Q: 1. Consider the function f(x) = -x² + 6x and the point P(2,8) on the graph of f.

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Q: If f(x) = x – kx-1 has a relative maximum at x = -2, then the value of k is %3D

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Q: If f and g are functions of time, and at time t = 3, f equals 8 and is rising at a rate of 3 units…

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Q: The profit function of a certain firm is f(x) = -6x² + 1188x - 1200, where x denotes units of…

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Q: Find all critical points of the function y= x^4 - 8x^2.

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Q: If f(x)= 2x-and g(x)=3x+1, what is f(x)-g(x)+g(x)²? O8x6+9x2+3x O8x+9x-x O8x+9x2-3x O8x+9x+x

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Q: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…

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Q: If f(x) is a differentiable function such that f'(-2)=-1 and g(x)=f(3x+1), then what is g'(-1)?

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Q: 5. The coordinates of the hole for the function f (x) x²-4 are: x-2

A: Given function, f(x)=x2-4x-2

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Q: onsider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 (D) h(−1) (E) h(0)…

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Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

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Q: The critical point for the function ƒ(x)= x² – 3x is

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Q: Find the critical numbers of the function g(x) = (x2−16)1/2.

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Q: Find the critical number(s), if any, of the function f(x)=x3-15x-3

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Q: Given that f(x) = 3x – 2 g(x) = 4x + 6 and h(x) = 2x2  -8…

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Q: 4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6…

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Q: If f(x)=1/5x^5-3/4x^4-4/3x^3+60, then what is the set of x values for which f has a relative…

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Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

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Q: .If f (x) = 5x - 2, g (x) = 2x - 3 and h (x) = x2, then (fogoh) (-1) =

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Q: If (2)-3.f(2)-1, g(x)=1/x, and htx)-[fx)][g(x)], then what is h'(2)?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.