Subjects algebra

Linear Function 664F84

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem is to understand and analyze the function $f(x) = 10^6 - 2 \times 10^4 \times y$. 2. This is a linear function in terms of $y$, where $10^6$ is a constant term and $2 \times 10^4$ is the coefficient of $y$. 3. The formula used here is a simple linear expression: $$f(y) = a - b y$$ where $a = 10^6$ and $b = 2 \times 10^4$. 4. To evaluate or simplify, you can substitute any value of $y$ into the function. 5. For example, if $y = 0$, then $$f(0) = 10^6 - 2 \times 10^4 \times 0 = 10^6$$. 6. If $y = 1$, then $$f(1) = 10^6 - 2 \times 10^4 \times 1 = 10^6 - 2 \times 10^4 = 980000$$. 7. This function decreases linearly as $y$ increases because of the negative coefficient. 8. The function can be graphed as a straight line with y-intercept at $10^6$ and slope $-2 \times 10^4$.