Topic 5 Functions Review

Is the relation shown on the table a function?

• Yes, each input has exactly one output

• Yes, each input has every output

• No, each input has some output

• No, each input has multiple output

What are the domain and range of the relation shown in the table?

• Domain: 4,4,6,8,10

  Range: 1,1,3,4,3

• Domain: 2,4,6,8,10

  Range: 1,2,3,4,3

• Domain: 2,3,6,8,10

  Range: 1,2,3,6,3

• Domain: 2,4,6,9,10

  Range: 1,3,3,4,3

Does the diagram represent a function? Explain.

• Yes, it represents a function. One function (3) has more than one output (10 and -3)

• No, it does not represent a function. One function (3) has more than one output (8 and -8)

• Yes, it represents a function. One function (3) has more than one output (8 and -8)

• No, it represents a function. One function (2) has more than one output (7 and 7)

Which function is linear? Explain

• Function B Linear. It has a constant rate of change of 2

• Function A Linear. It has a constant rate of change of 3

• Function B Linear. It has a constant rate of change of 4

• Function A Linear. It has a constant rate of change of 2

Which function is nonlinear? Explain

• Function A is nonlinear. If you graph the equation the graph is not a straight line.

• Function B is linear. If you graph the equation the graph is a straight line.

• Function A is linear. If you graph the equation the graph is a straight line.

• Function B is nonlinear. If you graph the equation the graph is not a straight line.

What is the equation of a line that passes through (0.5, 4.25) and (2, 18.5) and has a y-intercept of −0.5?

The graph shows the relationship of the number of gallons being drained from an aquarium over time. What function models the relationship?

In which intervals is the graph of the function constant? Explain

• Intervals 2, 4, & 6. The slope in these intervals is 0.

• Intervals 1, 4, & 7. The slope in these intervals is 1.

• Intervals 3, 5, & 6. The slope in these intervals is 3.

• Intervals 2, 4, & 6. The slope in these intervals is 10.

In which intervals is the graph of the function decreasing? Explain.

• Intervals 5 & 7. The slope of the intervals is negative

• Intervals 1 & 3. The slope of the intervals is positive

• Intervals 5 & 6. The slope of the intervals is negative

• Intervals 6 & 7. The slope of the intervals is constant

Omar’s mother brings him a bowl of carrots as a snack. At first, he does not eat any; then he eats one at a time until half of the carrots are gone. Then he does not eat any more. Sketch a graph that shows the number of carrots in the bowl over time.

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