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Test 3

The document covers mathematical concepts including sequences, functions, graphs, transformations, and decimals. It provides specific problems such as finding terms in a sequence, evaluating functions, plotting graphs, and performing geometric transformations. Additionally, it includes operations with decimals and simplifications of expressions.

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8 views2 pages

Test 3

The document covers mathematical concepts including sequences, functions, graphs, transformations, and decimals. It provides specific problems such as finding terms in a sequence, evaluating functions, plotting graphs, and performing geometric transformations. Additionally, it includes operations with decimals and simplifications of expressions.

Uploaded by

math expert
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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hapter 12: Sequence, Functions and Graphs

1. The nth term of a sequence is given as:

Tn=3n2−2n+1T_n = 3n^2 - 2n + 1Tn=3n2−2n+1

Find the 7th term.

2. Given the function:

f(x)=2x+5x−1f(x) = \frac{2x + 5}{x - 1}f(x)=x−12x+5

Find:

o (a) f(3)

o (b) The value of x for which f(x) = 1.

3. Plot the graph of 𝑦 = −2𝑥² + 4𝑥 + 1 for 𝑥 = −1 to 3.

Chapter 13: Transformation

4. A triangle has vertices A(2,3), B(4,3), C(4,5). Perform the following


transformations:

o (a) Reflect it in the x-axis.

o (b) Rotate it 90° clockwise about the origin.

5. Translate point P(−3, 5) by vector (4, −2), then reflect the new point in
the y-axis.

6. A point Q(5, −2) is rotated 270° anticlockwise about the origin. Find
the new coordinates.

Chapter 14: Decimal

7. Simplify the expression:

(7.125×0.04)+(15.375÷0.25)\left( 7.125 \times 0.04 \right) + \left( 15.375 \


div 0.25 \right)(7.125×0.04)+(15.375÷0.25)

8. Express 5.075 as a fraction in simplest form.

9. Find the sum of 23.456, 7.0034, and 0.0996, correct to 3 decimal


places.

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