كويز تفاعلي: هيكل الفصل الدراسي الثالث 2025 - 2026 للصف العاشر متقدم

أ

$f(x) \rightarrow \infty$ as $x \rightarrow \infty$, and $f(x) \rightarrow -\infty$ as $x \rightarrow -\infty$

ب

$f(x) \rightarrow -\infty$ as $x \rightarrow \infty$, and $f(x) \rightarrow \infty$ as $x \rightarrow -\infty$

ج

$f(x) \rightarrow \infty$ as $x \rightarrow \infty$, and $f(x) \rightarrow \infty$ as $x \rightarrow -\infty$

د

$f(x) \rightarrow -\infty$ as $x \rightarrow \infty$, and $f(x) \rightarrow -\infty$ as $x \rightarrow -\infty$

أ

Both ends go down ($f(x) \rightarrow -\infty$)

ب

Both ends go up ($f(x) \rightarrow \infty$)

ج

Left end goes up, right end goes down

د

Left end goes down, right end goes up

أ

Relative Max: $x ≈ -1.5$, Relative Min: $x ≈ 0.9$

ب

Relative Max: $x ≈ 0.9$, Relative Min: $x ≈ -1.5$

ج

Relative Max: $x ≈ 0$, Relative Min: $x ≈ 2$

د

No relative extrema

أ

x = -1

ب

x = 1

ج

x = 0

د

x = 2

أ

x² - x - 12, Remainder: 0

ب

x² - 5x + 12, Remainder: 2

ج

x² + x - 12, Remainder: 4

د

x² - x, Remainder: 24

أ

x + 4

ب

x - 4

ج

x + 3

د

x² + 4

أ

{0, 1, 3}

ب

{0, -1, -3}

ج

{1, 2, 3}

د

{-1, -2, 3}

أ

between -1 and 0, between 2 and 3, and at x = 1

ب

between -2 and -1, between 1 and 2, and at x = 0

ج

between 0 and 1, between 3 and 4, and at x = 2

د

between -3 and -2, between 0 and 1, and at x = -1