1. Functions

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

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

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

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

Approx 5 minutes

Sign up to try all questions

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).