Algebra 1 Functions and Function Notation Quiz: 10 Questions with Explanations

A \(\{(1, 2), (1, 3), (2, 4)\}\)B \(\{(1, 2), (2, 3), (3, 4)\}\)C \(\{(0, 5), (0, 6), (1, 7)\}\)D \(\{(2, 1), (2, 2), (2, 3)\}\)

A function cannot repeat an input with different outputs. Only the first relation has all different inputs.

A No, because the output 5 appears twiceB No, because the output 4 has no arrow from 2C Yes, each input has exactly one outputD Only if the outputs are in order

A function only requires one output per input. Two inputs can share an output.

A Yes, it is a closed curveB Yes, every point has one x-valueC No, a vertical line crosses it twiceD No, because it has no y-intercept

At most x-values, a vertical line meets the circle in two points, so an input has two outputs.

A -10B 10C -2D 2

Substitute: 3(-2) – 4 = -6 – 4 = -10. Treating the minus as a plus gives 2.

A -14B -4C 1D 4

(-3)² = 9, then 9 – 5 = 4. Computing -3² as -9 gives -14.

A \(x = 20\)B \(x = 7\)C \(x = 37\)D \(x = 10\)

Solve 2x + 3 = 17: 2x = 14, so x = 7. Substituting 17 for x gives 37, which is f(17).

A \(\{-3, 0, 2, 5\}\)B \(\{0, 1, 4\}\)C \(\{-3, 0, 2, 5, 1, 4\}\)D \(\{-3, 2, 5\}\)

The domain is the set of inputs, the first numbers in each pair. The second numbers are the range.

A \(-3 \le y \le 3\)B \(0 \le y \le 4\)C \(-3 \le y \le 4\)D \(0 \le y \le 3\)

The range is the set of y-values: from 0 up to 4.

A 28B 70C 17D 34

4(7) + 6 = 28 + 6 = 34. Forgetting the 6 gives 28.

A Input: a package’s weight; output: its shipping cost from a fixed rate chartB Input: a city; output: a street in that cityC Input: a month; output: a day in that monthD Input: a parent; output: a child of that parent

A function has one output per input. A city has many streets, a month has many days, and a parent may have several children.