Graphs of functions

Complete the table of values for $y = \frac{8}{x}$.

Feb/March 2017

The table lists some values for $y = 1.5^x - 1$.

Feb/March 2017

The four straight-line equations are labelled A, B, C and D as follows: A: $y=-3x+4$, B: $y=4x-3$, C: $y=3x-4$, D: $y=-4x-3$.

Feb/March 2018

The table lists some values of $y = 2x + \frac{1}{x} - 3$ for $0.125 \leq x \leq 3$.

Feb/March 2018

Complete the table for the values of $y = -x^2 + 5x + 7$.

Feb/March 2024

Complete the table by filling in the values for $y = \frac{12}{x}$.

Feb/March 2025

The line $y = 4x + 12$ meets the curve $y = 2x^2 - x - 3$ at points $P$ and $Q$.

Feb/March 2025

Complete the table for the values of $y = 8 + 3x - x^2$.

May/June 2015

The table lists several values for $y = x^2 - \frac{1}{2x}$, with $x \ne 0$. The x-values are: -2, -1.5, -1, -0.5, -0.25, -0.2, 0.2, 0.25, 0.5, 1, 1.5, 2. A few matching y-values are already shown.

May/June 2015

Plot of $y = x^2 - 2x + \frac{12}{x}$.

May/June 2015

The function is given by $f(x)=\frac{20}{x}+x$, $x\neq 0$.

May/June 2016

The function has rule $f(x) = x^2 - \frac{1}{x} - 4$, $x \ne 0$.

May/June 2016

The diagram displays the graph of $y = f(x)$ for $-3.5 \leq x \leq 2.5$.

May/June 2016

Fill in the table for $y = \frac{15}{x}$.

May/June 2017

The diagram presents the graph of y = f(x) for $-2.5 \le x \le 2$.

May/June 2017

$f(x) = 2x^2 - 1$. For $-2 \le x \le 2$, the grid shows the graph of $y = f(x)$.

May/June 2017

The table gives some values for $y = 2x^3 + 4x^2$.

May/June 2017

Finish completing the values table.

May/June 2018

The diagram depicts a rectangle of length $7a$ and width $2a$, NOT TO SCALE. For part (c): the table is linked to $y = \frac{12}{x},\; x \neq 0$.

May/June 2019

Finish the table of values for $y = 5 + 2x - x^2$.

May/June 2019

The table presents some values for $y = x^3 + 3x^2 + 2$. The listed $x$-values are $-3.5, -3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5$, and the matching $y$-entries are only partly filled in.

May/June 2019

The table lists some values of $y = \frac{1}{2x} - \frac{x}{4}$ for $0.15 \le x \le 3.5$.

May/June 2019

The diagram gives the graph of $y = \frac{k}{x}$ for $1 \le x \le 8$.

May/June 2021

The table gives a few values of $y = 3 + 4x - x^2$ when $-1 \le x \le 5$.

May/June 2021

Fill in the value table for $y = \frac{12}{x}$, $x \neq 0$.

May/June 2022

Fill in the table of values for $y = \frac{15}{x}$, $x \ne 0$.

May/June 2022

The table gives several values of $y = 3x^2 - 2x - 1$.

May/June 2023

Fill in the table of values for $y = 5 + 3x - x^2$.

May/June 2023

Find the equation of line $L$. Give your answer in the form $y = mx + c$.

May/June 2023

The table gives some values of $y = 2^x - 3$.

May/June 2023

Put a ring around the word that correctly names the type of function: reciprocal, quadratic, cubic, exponential, linear.

May/June 2023

The graph of $y = x^3 + 4x^2 - 2$ is shown in the diagram for $-3 \le x \le 1.5$.

May/June 2024

The diagram displays the graph of $y=f(x)$ for $x$ values from $-3$ up to $3$.

May/June 2024

The diagram presents the graph of $y = \frac{2}{x} - 1$.

May/June 2025

Fill in the table of values for $y = x^2 - x - 5$.

May/June 2025

This value table is based on $y = \frac{20}{x}$. For $x$: 1, 2, 3, 4, 5. The $y$-values already given are: 20, 10, [blank], [blank], 4.

May/June 2025

The table gives some values for $y = 5x^2 - x^3 - 4$.

May/June 2025

The table lists some values of $y = \frac{6}{x}$. The x-values shown are -5, -4, -3, -2, -1, 1, 2, 3, 4, 5. The y-values already given are: when x = -5, y = -1.2; when x = -4, y = -1.5; when x = 1, y = 6; when x = 3, y = 2; when x = 4, y = 1.5; when x = 5, y = 1.2.

Oct/Nov 2015

Write down the equation of the line $l$, expressed in the form $y = mx + c$.

Oct/Nov 2015

The table lists some values of $y = x^3 - 3x + 2$. The x‑values shown are -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2.

Oct/Nov 2015

Fill in the table.

Oct/Nov 2016

Complete the table shown.

Oct/Nov 2017

Complete the values table for $y = x^2 + 3x - 4$.

Oct/Nov 2017

Complete the values table for $y = \frac{12}{x}$.

Oct/Nov 2017

The function can be written as $y = \frac{x^3}{8} - \frac{2}{x^2}, \; x \neq 0$.

Oct/Nov 2017

Fill in the table.

Oct/Nov 2018

Complete the value table for $y = 8x - x^2$ when $x = 0,1,2,3,4,5,6,7,8$.

Oct/Nov 2018

Fill in the table of values.

Oct/Nov 2018

The table gives some values for $y = x^3 - 3x^2 + x$.

Oct/Nov 2018

The equation can be written as $y = \frac{8}{x}$.

Oct/Nov 2019

Fill in the values table for $y = x^2 - 5x + 3$.

Oct/Nov 2019

Some entries in the table are shown for $y = \frac{x^2}{2} + \frac{1}{x^2} - \frac{2}{x}$, $x \ne 0$.

Oct/Nov 2019

The table gives several values of $y = x^3 + x^2 - 5x.$

Oct/Nov 2019

Complete the values table for $y = 4 + 3x - x^2$.

Oct/Nov 2021

Complete the values table.

Oct/Nov 2021

The table gives some values of $y=x^2-\dfrac{3}{2x}$, with $x\neq0$, rounded to 1 decimal place.

Oct/Nov 2021

The table lists several values of $y=x^3-3x^2+3$.

Oct/Nov 2021

Fill in the values table for $y = \frac{5}{x}$.

Oct/Nov 2022

The straight line $y = x + 1$ cuts the curve $y = x^2 + x - 3$ at two points.

Oct/Nov 2023

The diagram depicts the graph of $y = x^2 - 2x - 3$. It intersects the $x$-axis at $(-1, 0)$ and $(3, 0)$. The figure is labelled NOT TO SCALE.

Oct/Nov 2023

The table lists several values for $y = x^3 + 4x^2 - 4$. Table: $x = -4.5, -4, -3, -2, -1, 0, 1, 1.5$ together with corresponding $y = -14.1, [blank], 5, 4, [blank], -4, 1, 8.4$.

Oct/Nov 2024

Fill in the value table for $y=\frac{9}{x}$.

Oct/Nov 2025

Sketch the graph of $y=\cos x$ over $0^{\circ}\leq x\leq360^{\circ}$.

Oct/Nov 2025

Complete the values table for $y=\frac{12}{x}$.

Oct/Nov 2025

Fill in the table of values for $y=x^2-4$.

Oct/Nov 2025

The table lists some values of $y=x^3-2x+3$. Where needed, the values of y are shown correct to 2 decimal places.

Oct/Nov 2025