Use limits to show that the function f (x) = x2 + 3 for x < 1 10 − x for 1 ≤ x ≤ 2 6x + x2 for x > 2 is continuous for x 6 = 1, 2, and determine what type of discontinuity does f (x) have at x = 1, 2. Support your answers using limits.

Q: Find a function in general form with a vertex at (-1, -2) and passes through (3, 6). Hint: Start…

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Q: f(x) 2x²1 x>-1 -x³ x < -1 Is this function continuous at x= -1

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Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: On what interval(s) is the function f(x) = x55x4 + 15 both increasing and concave down? (Enter your…

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Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: Graph the function. 6) f(x) = fx-1, for x>0 1-x², for x ≤0 9

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Q: 13.   please help   Either f(x) a graphically defined function.   calculate:

A: Step 1:Step 2: Step 3: Step 4:

Q: Use Intermediate Value Theorem to check whether f(x) x- 2x -1 has at least one zero between x= -1…

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Q: 4.x2 – 7 x -1 бх + х2

A: Given