High School

1. Evaluate [tex]f(-3)[/tex] for the following function: [tex]f(x) = x^2 + 24[/tex]

2. For the function [tex]f(x) = x^2 - 5x + 100[/tex], evaluate the following:

a. [tex]f(10)[/tex]
b. [tex]f(0)[/tex]
c. [tex]f(-1)[/tex]

Answer :

Final answer:

The value of f(-3) for the function f(x) = x² + 24 is 33. For the function f(x) = x² – 5x + 100, the values are f(10) = 150, f(0) = 100, and f(-1) = 106.

Explanation:

To evaluate f(-3) for the function f(x) = x² + 24, simply substitute x with -3:

f(-3) = (-3)² + 24 = 9 + 24 = 33.

Next, we evaluate the function f(x) = x² – 5x + 100 for the given values:

  1. f(10) = (10)² – 5(10) + 100 = 100 – 50 + 100 = 150.
  2. f(0) = (0)² – 5(0) + 100 = 0 – 0 + 100 = 100.
  3. f(-1) = (-1)² – 5(-1) + 100 = 1 + 5 + 100 = 106.

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