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

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)

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)

⬇ Download the Algebra 1 Functions, Domain, Range and Function Notation test (PDF, 96 KB)

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