Representing Equations on a Graph

Q.

If a polynomial cuts the x-axis at 3 points, then the number of zeroes of the polynomial would be

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Q. What is the maximum number of zeroes in cubic polynomial?

Q.

A linear polynomial will have how many zeroes.

1. 3

2. 1

3. 2

4. 0

Q. Can you tell the number of zeroes a polynomial of nth degree

Q. Question 2
The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation.
$\begin{array}{ccc}X& 6& -6\\ Y& -2& 6\end{array}$
Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation.
(i) Cuts the x-axis?
(ii) Cuts the y-axis?

Q. What is the sum of the zeros of the polynomial shown below?

1. 4
2. 3
3. 5
4. 6

Q.

The equation of $x-axis$ is of the form

1. $x=0$

2. $y=0$

3. $x+y=0$

4. $x=y$

Q. The distance of a point from the x-axis is called its x coordinate.

1. True
2. False

Q. How many zeros does the polynomial shown below have?

1. 0
2. 1
3. 2
4. 3

Q. Three curves i.e.
a) $y=x^3$
b) $y=x^5$
c) $y=x^7$
are plotted on the following graph.
Which polynomial is represented by graph 1?

1. $y=x^3$
2. None of the above
3. $y=x^5$
4. $y=x^7$

Q. Three curves i.e. a) $y=x^3,b)y=x^5,c)y=x^7$ are plotted in the following graph. Identify correct relation.

1. (a)-(2) , (b)-(1), (c)-(3)
2. (a)-(1) , (b)-(2), (c)-(3)
3. (a)-(3) , (b)-(2), (c)-(1)
4. (a)-(2) , (b)-(3), (c)-(1)

Q. Three curves i.e.
a) $y=x^2$
b) $y=x^4$
c) $y=x^6$
are depicted in the graph shown below. Which of the polynomials does the graph 3 represent?

1. $y=x^2$
2. $y=x^6$
3. All of the above
4. $y=x^4$

Q. The point at which a polynomial cuts the x-axis is called the of the polynomial.

1. zero
2. value
3. degree
4. coefficient

Q.

Four curves i.e.
a) $y=x^3$
b) $y=x^7$
c) $y=x^2$ and
d) $y=x^6$
are depicted in the following graph.

Which polynomial is represented by Graph 4?

1. $y=x^3$

2. $y=x^7$

3. $y=x^2$

4. $y=x^6$

Q. What is zero of a polynomial?

Q. An equation is a condition or a constraint placed on the x and y coordinates.

1. True
2. False

Q. The maximum number of turns in the graph of the polynomial $x^4-3x+5$ will be .

1. 4
2. 3
3. 5
4. 2

Q.
This is a graph of the polynomial $y=x^n$. $n$ is an even number. State true or false.

1. True
2. False

Q. What is the graph of polynomial with degree 2?

1. Line
2. Curve
3. Parabola
4. Circular

Q.
This is a graph of the polynomial $y=x^n$. $n$ is an even number. State true or false.

1. True
2. False

Q.

$\mathrm{If}f\left(x\right)=(\begin{array}{c}{x}^3+x^2,for0\le x\le 2\\ x+2,for2\le x\le 4\end{array}$
then the odd extension of f(x) would be -

1. $f\left(x\right)=(\begin{array}{c}-x^3+x^2,for-2\le x\le 0\\ -x+2,for-4\le x\le -2\end{array}$

2. 
   $f\left(x\right)=(\begin{array}{c}{x}^3-x^2,for-2\le x\le 0\\ x-2,for-4\le x\le -2\end{array}$

3. $f\left(x\right)=(\begin{array}{c}{x}^3+x^2,for-2\le x\le 0\\ x+2,for-4\le x\le -2\end{array}$

4. $\text{None of these}$
   

Q. Number of real zero(s) of polynomial f(y) = ay2 + by + c, is

Q. Four curves i.e.
a) $y=x^3$
b) $y=x^7$
c) $y=x^2$ and
d) $y=x^6$
are depicted in the following graph.

Which polynomial is represented by Graph 4?

1. $y=x^3$
2. $y=x^7$
3. $y=x^2$
4. $y=x^6$

Q.
This is a graph of the polynomial $y=x^n$ , where $n$ is a/an number.

1. even
2. odd
3. negative
4. irrational

Q. maximum number of zeroes in cubic polynomial

Q.

The graph of a polynomial P(x) is as shown. The number of its zeroes are

1. 2

2. 1

3. 0

4. 3

Q. Find the number of zeros of the quadratic polynomial f(x)=x^2-2√a x+(a-b). Verify the relationship between zeroes and coefficients.

Q. Match the value of the expression $x^{99}+x^{100}+x$ for the given values of $x$.

1. 3
2. -1
3. 0

Q. Four curves i.e.
a) $y=x^3$
b) $y=x^7$
c) $y=x^2$ and
d) $y=x^6$
are depicted in the following graph.

Which polynomial is represented by Graph 4?

1. $y=x^3$
2. $y=x^7$
3. $y=x^6$
4. $y=x^2$

Q. The $x$ and the $y$ coordinates of all the points on the curve $x$ = $y$ are equal.

1. True
2. False