Finding Indicated Function Values in Algebra

The video tutorial explains how to find the value of a function at a specific point. It begins by introducing the problem of finding f(-2) for the function f(x) = 4x^2 + 5x - 1. The instructor demonstrates how to substitute -2 into the function, replacing the variable x. The tutorial then walks through the simplification process, showing each step of the calculation. Finally, the instructor concludes with the result, explaining that when -2 is substituted for x, the function evaluates to 5.

What is the function given in the problem?

• f(x) = 4x^2 + 3x - 1

• f(x) = 2x^2 + 5x - 1

• f(x) = 3x^2 + 2x - 1

• f(x) = 4x^2 + 5x - 1

What value are we asked to find in the function?

• f(1)

• f(0)

• f(-2)

• f(2)

What is the first step in solving for f(-2)?

• Add 5 to the function

• Multiply all terms by 2

• Replace x with -2 in the function

• Simplify the function

What is the result of -2 squared?

• 2

• 4

• 0

• -4

What is the final value of f(-2)?

• 5

• 0

• -5

• 10