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India
Class X

Comparing Functions (quad, cubic, exp, linear)

Interactive practice questions

A table of values for the function $P$P and for the function $Q$Q are provided below.

Function $P$P:
$x$x $-2$2 $-1$1 $0$0 $1$1 $2$2
$y$y $9$9 $6$6 $3$3 $0$0 $-3$3
Function $Q$Q:
$x$x $0$0 $1$1 $2$2 $3$3 $4$4
$y$y $6$6 $3$3 $2$2 $3$3 $6$6
a

Which of the following statements are true?

Function $P$P is a line and function $Q$Q is a parabola.

A

Function $P$P is a parabola and function $Q$Q is a parabola.

B

Function $P$P is a line and function $Q$Q is a line.

C

Function $P$P is a parabola and function $Q$Q is a line.

D
b

Graph the function $P$P below.

Loading Graph...
c

Graph the function $Q$Q below.

Loading Graph...
d

Which of the following statements are true?

As $x$x tends to infinity, function $Q$Q is higher than function $P$P.

A

As $x$x tends to infinity, function $P$P is higher than function $Q$Q.

B
e

Which of the following statements is true on the domain $x<2$x<2?

Function $P$P is increasing and function $Q$Q is increasing.

A

Function $P$P is decreasing and function $Q$Q is increasing.

B

Function $P$P is decreasing and function $Q$Q is decreasing.

C

Function $P$P is increasing and function $Q$Q is decreasing.

D
Easy
4min

Consider the line $P$P given by the equation $y=-12+\frac{x}{10}$y=12+x10, and the table of values for parabola $Q$Q.

Easy
2min

The graph of the parabola $P$P is given by $y=-3\left(x-2\right)^2-3$y=3(x2)23 and the line $Q$Q is given by $y=-6x+12$y=6x+12.

Easy
4min

The line $P$P is given by $y=-4+\frac{4x}{3}$y=4+4x3 and the parabola $Q$Q is given by $y=-\left(x-1\right)\left(x-4\right)$y=(x1)(x4).

Easy
4min
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Outcomes

10.CG.L.1

Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.

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