1+ cx, if x < 2 if x > 2 Given the function: f(x) = C - x, What should be the value of c so thatf is continuous at x = 2? 0 1 O-3 O-2 0 2

Q: Let f(x) be a piecewise function defined by - 6x+ a if x - 3 What should be the values of a and b…

A: Continuity

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: Let X={1, 2, …, 16} and define function f(x)=rx for all x€X where rx is the remainder when 3x is…

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Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤…

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Q: REVIEW: The range of basic sine and cosine functions -15 sin 0 s1 and 1s cos 0 S 1 - #3 For 0 sx <…

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Q: a. Use the definition mtan = lim x→a a. mtan = b. Determine an equation of the tangent line at P. c.…

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Q: The table contains some input-output pairs for the functions f and g. æ| f(x) | g(x) 2 2 9 6 9 3 9.…

A: To evaluate the given expression with the given table values.

Q: 15 10 8 10 Evaluate f(0) (a) Estimate f(4) (b) 00 2.

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Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

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Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

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