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- Post Date 2018-11-05T11:58:23+00:00
- Post Category Essays

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### Will f(x) +4 have real zeros? Justify without any calculations.

# MATH 107 Coursework Assignment: Show Work for All Problems

INSTRUCTIONS:

**SHOW WORK FOR ALL PROBLEMS**

- Consider the quadratic equations:

Solve quadratic equation above by

- extracting square roots
- completing the square
- by applying the formula

- Consider the function:

- Will f(x) +4 have real zeros? Justify without any calculations.
- Will f(x) -5 have real zeros? Justify without any calculations.
- Will f(x-2) have real zeros? Justify without any calculations.
- Will f(x+4) have real zeros? Justify without any calculations.

- Consider the function
- Determine the behaviors as and as
- Find all zeros. What is the multiplicity of roots (zeros)?
- When will the function cross the x-axis? When will it cross the y-axis?

- Consider the function
- Find the domain for the function in interval notations
- Find all vertical, horizontal and slant asymptotes
- Sketch the function
- Solve the inequality

CONTENT:

SHOW WORK FOR ALL PROBLEMS 1 Consider the quadratic equations: x2-2=0 Solve quadratic equation above by * extracting square roots X2-2=0 X2=2 X= = Â± âˆš2= {-1.4142, 1.4142} * completing the square Reordering the terms: -2 + X2 = 0 Move all terms containing X to the left, all other terms to the right. -2 + 2 + X2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X2 = 0 + 2 X2 = 0 + 2 Combine like terms: 0 + 2 = 2 X2 = 2 Taking the square root of each

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