Function Evaluation

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.1

Evaluate each function: f(x + h), - f(x), f(2x) and f(-x).

29. f(x) = 3x^2 + 2x - 4

44. f(x) = sqrt{x^2 + x}

This should be fun to do. Enjoy.

[Eigenvalue]

29. 3(x+h)²+2(x+ h)-4
3x²+6xh+3h²+2x+2h-4

-(3x²+2x-4)
-3x²-2x+4

3(2x)²+2(2x)-4
12x⁴+4x-4

3(-x)²+2(-x)-4
3x²-2x-4

44. Sqrt((x+h)²+x+h)
Sqrt(x²+h²+2xh+x+h)

-sqrt(x²+x)

Sqrt((2x)²+2x)
Sqrt(4x²+2x)

Sqrt((-x)²-x)
Sqrt(x²-x)

[nycmath]

Eigenvalue,

Correct. A job well-done! I just love to evaluate functions. In Chapter 5, we will study composite functions or composition of functions.