Note: This is the Solution of review exercise 10 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Review Exercise 10
Question # 01: Four option are given against each statement. Encircle the correct option.
\((i)\) \(x=5\) represents:
\( a) \quad \) \(x-axis\)
\( b) \quad \) \(y-axis\)
\(c) \quad \) \(\text{line}\parallel \text{to } x-axis\)
\( d) \quad \) \(\text{line}\parallel \text{to } y-axis\)
\( \text{Answer/Explanation}\)
\((ii)\) Slope of line \(y=5x+3\) is:
\( a) \quad \) \(3\)
\( b) \quad \) \(-3\)
\(c) \quad \) \(5\)
\( d) \quad \) \(-5\)
\( \text{Answer/Explanation}\)
\((iii)\) The \(y-intercept\) of \(y=-2x-1\) is:
\( a) \quad \) \(-2\)
\( b) \quad \) \(2\)
\(c) \quad \) \(-1\)
\( d) \quad \) \(1\)
\( \text{Answer/Explanation}\)
\((iv)\)\(\quad\)The graph of \(y=x^3\), cuts the \(x-axis\) at:
\( a) \quad \) \(x=0\)
\( b) \quad \) \(x=1\)
\(c) \quad \) \(x=-1\)
\( d) \quad \) \(x=2\)
\( \text{Answer/Explanation}\)
\((v)\) \(\quad\)The graph of \(3^x\) represents:
\( a) \quad \) growth
\( b) \quad \) decay
\(c) \quad \) both (a) and (b)
\( d) \quad \) a line
\( \text{Answer/Explanation}\)
\((vi)\) \(\quad\) The graph of \(y=-x^2+5\) opens:
\( a) \quad \) upward
\( b) \quad \) downward
\(c) \quad \) left side
\( d) \quad \) right side
\( \text{Answer/Explanation}\)
\((vii)\)\(\quad\)The graph of \(y=x^2-9\) opens:
\( a) \quad \) upward
\( b) \quad \) downward
\(c) \quad \) left side
\( d) \quad \) right side
\( \text{Answer/Explanation}\)
\((viii)\)\(\quad\)\(y=5^x\) is ___________ function.
\( a) \quad \) linear
\( b) \quad \) quadratic
\(c) \quad \) cubic
\( d) \quad \) exponential
\( \text{Answer/Explanation}\)
\((ix)\)\(\quad\)Reciprocal function is:
\( a) \quad \) \(y=7^x\)
\( b) \quad \) \(y=\frac{2}{x}\)
\(c) \quad \) \(y=2x^2\)
\( d) \quad \) \(y=5x^3\)
\( \text{Answer/Explanation}\)
\((x)\) \(\quad\)\(y=-3x^3+7\) is_________________function.
\( a) \quad \) exponential
\( b) \quad \) cubic
\(c) \quad \) linear
\( d) \quad \) reciprocal
\( \text{Answer/Explanation}\)
Question 2: Plot the graph of the following functions:
\( (i) \;\) \(y=3^{-x}\) for \(x\) from \(-2\) to \(4\)
\( (ii) \; \) \(y=\frac{2}{x+7}\), \(x \ne -7\)
Question 3: Sales for a new magazine are expected to grow according to the equation:
\(\small{S=200000(1-e^{-0.05t})}\), where \(\small{t}\) is given in weeks.
\( (a) \;\) Plot graph of sales for the first \(50\) weeks.
\( (b) \; \) Calculate the number of magazine sold, when \(t=5\) and \(t=35\).
Question 4: Plot the graph of following for \(x\) from \(-5\) to \(5\):
\( (i) \; \) \(y=x^2-3\)
\( (ii) \; \) \(y=15-x^2\)