Functions, Domain, Range and Function Notation: Algebra 1 Math Test – PDF Download

Algebra 1 Functions Notation Test: questions 1–5

Question 1: Is it a function? (3 points)

Decide whether each relation is a function of \(x\). Write Yes or No and give a reason.

1. \(\{(-1,2),(0,5),(1,2),(2,7)\}\) (1 point)
2. The table below. (1 point)
   

   \(x\)	4	6	9	6
   \(y\)	1	3	5	8

3. The graph shown. (1 point)

Question 2: Evaluate a quadratic (2 points)

Let \(f(x)=x^{2}-4x+1\). Find each value.

1. \(f(-2)\) (1 point)
2. \(f(5)\) (1 point)

Question 3: Evaluate and solve (2 points)

Let \(g(x)=-3x+8\).

1. Find \(g(-4)\). (1 point)
2. Find \(x\) so that \(g(x)=-7\). (1 point)

Question 4: Read values from a graph (3 points)

The graph of a function \(f\) is shown.

1. Find \(f(0)\). (1 point)
2. Find \(f(1)\). (1 point)
3. Find all values of \(x\) for which \(f(x)=0\). (1 point)

Question 5: Ticket profit (2 points)

A school play earns a profit of \(P(n)=6n-150\) dollars when \(n\) tickets are sold.

1. Find \(P(40)\) and explain what it means. (1 point)
2. Find \(n\) when \(P(n)=0\) and explain what it means. (1 point)

Algebra 1 Functions Notation Test: questions 6–8

Question 6: Domain and range of a graph (3 points)

The graph of a function is a line segment. Its left endpoint is a closed point and its right endpoint is an open point.

1. State the domain with an inequality. (1 point)
2. State the range with an inequality. (1 point)
3. Is the situation modeled by this graph discrete or continuous? Explain. (1 point)

Question 7: Notebook sale (2 points)

Notebooks cost \(\$2.50\) each. A student may buy 1 to 8 notebooks, so the cost is \(N(k)=2.5k\).

1. State the domain. (1 point)
2. State the range. (1 point)

Question 8: Rocket launch (3 points)

A toy rocket is launched upward. Its height in feet after \(t\) seconds is \(h(t)=-16t^{2}+64t\).

1. Find \(h(3)\). (1 point)
2. Find \(h(4)\) and explain what it means. (1 point)
3. State a reasonable domain and range for this situation. (1 point)

How to use this algebra 1 functions notation test

Take this algebra 1 functions notation test without notes, then grade it with the test answer key out of 20 points.

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