High School

Evaluate the function [tex]f(x) = 2x^2 - 6x - 4[/tex] at the indicated values:

- [tex]f(-5) = 76[/tex]
- [tex]f(2) = -8[/tex]
- [tex]f(a+3) = 2a^2 + 6a - 4[/tex]

Answer :

Final answer:

To evaluate a function at given values, you substitute each value into the function. Following this process, you can confirm that f(-5)=76, f(2)=-8, and f(a+3)=2a²+6a-4 for the function f(x)=2x²-6x-4.

Explanation:

To evaluate the function f(x) = 2x² - 6x - 4 at the given values, you substitute each value into the function:

  1. f(-5) = 2(-5)² - 6*(-5) - 4 = 50 + 30 - 4 = 76
  2. f(2) = 2*2² - 6*2 - 4 = 8 - 12 - 4 = -8
  3. For f(a+3) = 2(a+3)² - 6*(a+3) - 4, you would first distribute the squares and multiplication to get 2a² + 12a + 18 -6a -18 -4 = 2a² + 6a -4.

See how the specific values of x produce the results given.

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