2. Functions, relations and graphs
Interactive practice questions
Consider the table of values.
| $x$x | $9$9 | $18$18 | $27$27 | $36$36 |
|---|---|---|---|---|
| $y$y | $-68$−68 | $-131$−131 | $-194$−194 | $-257$−257 |
a
Is $y$y increasing or decreasing?
increasing
A
decreasing
B
b
For every $1$1 unit increase in the $x$x value, by how much does $y$y change?
c
Use your answer to the previous part to state the algebraic rule linking $x$x and $y$y.
Give your answer as an equation.
Easy
2min
Write an equation for $v$v in terms of $u$u.
Easy
1min
Write down the equation of a line whose gradient is $2$2 and crosses the $y$y-axis at $\left(0,1\right)$(0,1).
Express your answer in gradient-intercept form.
Easy
< 1min
A line has gradient $-2$−2 and passes through the point $\left(-6,-\frac{4}{3}\right)$(−6,−43).
Medium
6min
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