The graph shows a function $p$ and its tangent line at $x=3$. Use the tangent line to estimate $p(5)$.

For $v(x)=2x^2-4x$, the tangent line at $x=-1$ estimates $v(-2)$ as $14$. What is the ACTUAL value, and which way does the estimate err?

Write the linearization of $q(x)=-5x^2+7x$ at $x=-1$.

The graph shows $p$ and its tangent line at $x=5$. Is the tangent-line estimate an over-estimate or an under-estimate of nearby values?

The graph shows $g$ and its tangent line at $x=3$. The tangent line estimates $g(2)$ as $-12$. What is the ACTUAL value, and which way does the estimate err?

Write the linearization of $p(x)=-x^2+x$ at $x=3$.

The graph shows $f$ and its tangent line at $x=-5$. Is the tangent-line estimate an over-estimate or an under-estimate of nearby values?

Write the linearization of $p(x)=2x^2-5x$ at $x=-1$.

For $f(x)=-5x^2-8x$, use the tangent line at $x=-5$ to estimate $f(-7)$.

The graph shows a function $w$ and its tangent line at $x=-1$. Use the tangent line to estimate $w(1)$.

For $u(x)=4x^2-3x$, the tangent line at $x=-2$ estimates $u(-1)$ as $3$. What is the ACTUAL value, and which way does the estimate err?

For $v(x)=-5x^2-6x$, is the tangent-line estimate at $x=1$ an over-estimate or an under-estimate of nearby values?

A differentiable function has $p(4)=2$ and $p^{\prime }\left(4\right)=8$. Use the tangent line at $x=4$ to estimate $p(6)$.

For $v(x)=3x^2-3x$, use the tangent line at $x=4$ to estimate $v(6)$.

The graph shows $w$ and its tangent line at $x=2$. Is the tangent-line estimate an over-estimate or an under-estimate of nearby values?

For $v(x)=2x^2-9x$, use the tangent line at $x=-4$ to estimate $v(-6)$.

For $p(x)=-4x^2+x$, use the tangent line at $x=3$ to estimate $p(1)$.

For $g(x)=x^2+4x$, is the tangent-line estimate at $x=2$ an over-estimate or an under-estimate of nearby values?

A differentiable function has $p(5)=5$ and $p^{\prime }\left(5\right)=-3$. Use the tangent line at $x=5$ to estimate $p(3)$.

For $f(x)=2x^2-4x$, use the tangent line at $x=4$ to estimate $f(6)$.

The graph shows a function $v$ and its tangent line at $x=-4$. Use the tangent line to estimate $v(-6)$.

Write the linearization of $s(x)=5x^2+9x$ at $x=5$.

The graph shows $q$ and its tangent line at $x=-4$. Is the tangent-line estimate an over-estimate or an under-estimate of nearby values?

For $f(x)=4x^2+9x$, the tangent line at $x=2$ estimates $f(0)$ as $-16$. What is the ACTUAL value, and which way does the estimate err?

Write the linearization of $f(x)=-3x^2-4x$ at $x=1$.

For $f(x)=-3x^2+8x$, is the tangent-line estimate at $x=2$ an over-estimate or an under-estimate of nearby values?

A differentiable function has $f(6)=2$ and $f^{\prime }\left(6\right)=-3$. Use the tangent line at $x=6$ to estimate $f(4)$.

A differentiable function has $r(8)=-4$ and $r^{\prime }\left(8\right)=-7$. Use the tangent line at $x=8$ to estimate $r(6)$.

Write the linearization of $f(x)=3x^2+7x$ at $x=4$.

Write the linearization of $v(x)=4x^2-3x$ at $x=-1$.