Question

Let (a). Use the graph below to find the largest number $\delta > 0$ such that 6.3 3,5 1.5 0.7 (Enter dne if no such $\delta$ exists.) $\delta =$ (b). Use the graph below to find the largest number $\delta > 0$ such that 4.3 3.5 2.7 1.5 (Enter dne if no such $\delta$ exists.) $\delta =$ if $x < 3$ $f(x) = \begin{cases} \frac{1}{2}x & \text{if } x < 3\\ \frac{1}{2}x + 2 & \text{if } x \ge 3 \end{cases}$ if $|x - 3| < \delta$ then $|f(x) - 3.5| < 2.8$. if $|x - 3| < \delta$ then $|f(x) - 3.5| < 0.8$.

          Let
(a). Use the graph below to find the largest number $\delta > 0$ such that
6.3
3,5
1.5
0.7
(Enter dne if no such $\delta$ exists.)
$\delta =$
(b). Use the graph below to find the largest number $\delta > 0$ such that
4.3
3.5
2.7
1.5
(Enter dne if no such $\delta$ exists.)
$\delta =$
if $x < 3$
$f(x) = \begin{cases} \frac{1}{2}x & \text{if } x < 3\\ \frac{1}{2}x + 2 & \text{if } x \ge 3 \end{cases}$
if $|x - 3| < \delta$ then $|f(x) - 3.5| < 2.8$.
if $|x - 3| < \delta$ then $|f(x) - 3.5| < 0.8$.

Let
(a). Use the graph below to find the largest number δ > 0 such that
6.3
3,5
1.5
0.7
(Enter dne if no such δ exists.)
δ =
(b). Use the graph below to find the largest number δ > 0 such that
4.3
3.5
2.7
1.5
(Enter dne if no such δ exists.)
δ =
if x < 3
f(x) = (1)/(2)x if x < 3
(1)/(2)x + 2 if x ≥ 3
if |x - 3| < δ then |f(x) - 3.5| < 2.8.
if |x - 3| < δ then |f(x) - 3.5| < 0.8.

Added by Jillian F.

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