For the function, evaluate the following. $$ f(x, y)=x^{2}-y-x y+1 $$ (o) $$ f(0,0) $$ 1 (b) $$ f(1,0) $$ 2

Question

UpStudy AI · Accepted Answer

Certainly! Let's evaluate the function $$ f(x, y) = x^{2} - y - x y + 1 $$ at the specified points.

### (a) $$ f(0, 0) $$

Plug in $$ x = 0 $$ and $$ y = 0 $$ into the function:

$$
f(0, 0) = (0)^2 - 0 - (0)(0) + 1 = 0 - 0 - 0 + 1 = 1
$$

**Result:** $$ f(0, 0) = 1 $$

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### (b) $$ f(1, 0) $$

Plug in $$ x = 1 $$ and $$ y = 0 $$ into the function:

$$
f(1, 0) = (1)^2 - 0 - (1)(0) + 1 = 1 - 0 - 0 + 1 = 2
$$

**Result:** $$ f(1, 0) = 2 $$

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Your evaluations are correct:
- $$ f(0, 0) = 1 $$
- $$ f(1, 0) = 2 $$

If you have any further questions or need additional evaluations, feel free to ask!
$$ f(0, 0) = 1 $$ and $$ f(1, 0) = 2 $$.

For the function, evaluate the following. \[ f(x, y)=x^{2}-y-x y+1 \] (o) \( f(0,0) \) 1 (b) \( f(1,0) \) 2