Expressing any Function using the Notation f(x)

Q. Find f(17) for the function y = 7x - 2.

Q. For the function, $f\left(x\right)=3x+2.$
Choose the correct pairs

1. $f\left(x\right)=3x+2$
2. $f\left(x\right)$
3. $y=3x+2$
4. Dependent var.
5. Independent var.
6. $x$

Q. For a function defined from set $X$ to set $Y$ where $x\in X\&y\in Y.$
It is given that $y$ is linearly dependent on $x$ and $f\left(2\right)=3,$ $f\left(0\right)=\frac{7}{3}.$ Find the function.

1. $3y=x+7$
2. $y=\frac{1}{3}x+\frac{7}{3}$
3. $2y=x+7$

Q. Consider the following functions.
$f:y=5x-4$
$g:y=3-6x$

Determine $\frac{f\left(2\right)}{g\left(5\right)}.$

1. $-\frac{2}{9}$
2. $\frac{2}{9}$

Q. A large tank initially contains 1 L of water. A tap is connected to the tank, which fills the tank at a rate of 3 L per minute. Determine the quantity of water in the tank as function of time and find the quantity water in the tank after 10 minutes of the tap opening, given that there is no over flowing or loss of water from the tank.

L

Q. Consider the function $2y=1+x.$

Determine $f(2{)}^3-f(3{)}^2.$

1. $1.75$
2. $-1.75$

Q. $f\left(x\right)=7x+5$ is another way to express $y=7x+5.$

1. True
2. False

Q. Which of the following represents linear and proportional relationships?