Functions & relationships

The table below shows inputs x and outputs y: x: 4; 5; 7; 10 y: 13; 15; 3; 16 Does the table represent a function? Give a reason for your answer.

The flow diagram shows a number machine whose output is 36. Determine the input x.

y is directly proportional to x. Two pairs of values are (4; 16) and (6; 24). Determine the value of k and write down the equation connecting y and x.

A rule of the form $y=$ ax $+b$ connects x and y: (3; 12); (4; 17); (5; 22). Determine the rule.

The flow diagram shows a number machine whose output is 20. Determine the input x.

The flow diagram shows a number machine. Determine the output for EACH of the inputs: $x=2$; 3; 7

Does the point (6; 20) lie on the graph of $y=4x-2$? Substitute and show your check.

The rule $y=9x-12$ connects x and y in the table below. Determine the TWO missing values. x: 1; 2; 3; 5; ? y: −3; 6; ?; 33; 150

Consider the table: x: 5; 10; 14 y: 30; 60; 84 Is y directly proportional to x (a rule of the form $y=$ kx)? Give a reason for your answer.

A rule of the form $y=$ ax $+b$ connects x and y: (1; 10); (2; 16); (3; 22). Determine the rule.

The table below shows inputs x and outputs y: x: 2; 2; 4; 7 y: 19; 4; 9; 11 Does the table represent a function? Give a reason for your answer.

The flow diagram shows a number machine. Determine the output for EACH of the inputs: $x=2$; 4; 9