3.2 Algebra and Functions (A-level only)

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Question 72

The temperature $T$ (in $∘C^{\circ}\text{C}$ ) of a chemical reaction at time $t\,$ minutes is modeled by a continuous piecewise linear function $T = f (t)$ . The graph of $T = f (t)$ is described as follows:

For $\le -2$ , the temperature is constant at $T = - 3$ .
For $\le t \le 4$ , the temperature increases linearly from $(- 2, - 3)$ through $(0, 1)$ to $(4, 9)$ .
For $\ge 4$ , the temperature remains constant at $T = 9$ .

a.

Sketch the graph of $y = f (- t)$ .

[2]

b.

Sketch the graph of $y = 2 f (t) - 5$ .

[2]

c.

Sketch the graph of the derivative $y = f^{'} (t)$ .

[2]

3.2 Algebra and Functions (A-level only)

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Question 72

The temperature $T$ (in $∘C^{\circ}\text{C}$ ) of a chemical reaction at time $t\,$ minutes is modeled by a continuous piecewise linear function $T = f (t)$ . The graph of $T = f (t)$ is described as follows:

For $\le -2$ , the temperature is constant at $T = - 3$ .
For $\le t \le 4$ , the temperature increases linearly from $(- 2, - 3)$ through $(0, 1)$ to $(4, 9)$ .
For $\ge 4$ , the temperature remains constant at $T = 9$ .

a.

Sketch the graph of $y = f (- t)$ .

[2]

b.

Sketch the graph of $y = 2 f (t) - 5$ .

[2]

c.

Sketch the graph of the derivative $y = f^{'} (t)$ .

[2]

3.2 Algebra and Functions (A-level only)

Question 72

3.2 Algebra and Functions (A-level only) Questions

3.2 Algebra and Functions (A-level only)

Question 72

3.2 Algebra and Functions (A-level only) Questions