MAT206 - Difference Quotient And Inequality - Mathematics Assignment Help

Assignment Task

1. (a) Solve the inequality: |3m − 2| − 8 ≤ 13,

(b) Graph your solution.

(c) Write your answer in interval notation.

2. (a) Write the equation of the circle in standard form with center (-1, -4) and a point on the circle located at (-3, 1).

(b) Is the point (-6, -2) on the circle in part (a)? How do you know?

3. Find the difference quotient and simplify your answer.

f(x) = x 2 − 6x,

f(−2+h)−f(−2) h , where h ≠ 0

4. Using the given f(x) = |x|, graph g(x) = −f(x + 2) + 1.

5. Rationalize the denominator. √6 + √2

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