Math Problem Statement

Given the function f(x) = x^2 - 7x - 10, find f(6) and f(0).

Solution

The problem remains clear:

We need to evaluate f(6)f(6) and f(0)f(0) for the given function:

f(x)=x27x10f(x) = x^2 - 7x - 10

Solution Recap:

  1. For f(6)f(6): Substitute x=6x = 6: f(6)=627(6)10f(6) = 6^2 - 7(6) - 10 f(6)=364210=16f(6) = 36 - 42 - 10 = -16 So, f(6)=16f(6) = -16.

  2. For f(0)f(0): Substitute x=0x = 0: f(0)=027(0)10f(0) = 0^2 - 7(0) - 10 f(0)=10f(0) = -10 So, f(0)=10f(0) = -10.

Final Answers:

  • a) f(6)=16f(6) = -16
  • b) f(0)=10f(0) = -10

Let me know if you'd like further clarification or expansion on this! Would you also like to explore related problems like graphing the function or finding its roots?

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Substitution

Formulas

f(x) = ax^2 + bx + c

Theorems

Substitution method

Suitable Grade Level

Grades 7-9