M2 T3 Review

A function is a rule that assigns to each input exactly one output. In a graph, the input is the x-value, and the output is the y-value.

Which graph(s) do not represent a function?

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Consider the relation shown in the figure.

Which ordered pairs show that the relation is not a function?

• (0,-2) and (0,1)

• (0,1) and (2,1)

• (1, 2) and (3,4)

• None, because this mapping is a function

Which table(s) do not represent a function?

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Consider the graphs.

Which graphs represent functions?

• Graph B and C only

• Graph B, C and D only

• Graph A only

• All of the graphs represent functions.

Which statement describes the definition of a function?

• For every input, there is exactly one output.

• For every input, there are no more than two outputs.

• For every output, there is exactly one input.

• For every output, there are no more than two inputs.

Which linear function has the smallest y-intercept?

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•  $y=2\left(4x-3\right)$  

• y-intercept of (0, 3) and x-intercept of (-2, 0)

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The 2 tables show a relationship between x and y values. What do the 2 linear functions have in common?

• y-intercept

• x-intercept

• 2 common points

• identical slopes

Compare the 4

functions shown in the box.

Which has a positive slope?

• Only Function 1

• Only Function 3

• Both functions 1 & 3

• Both functions 2 & 3

Compare the two functions.

Which function has a greater y-intercept, and why?

• Function 2 has a greater y-intercept because 5 > 3.

• Function 1 has a greater y-intercept because 5 > 3.

• Function 2 has a greater y-intercept because -1/2 > -3.

• Function 1 has a greater y-intercept because -1/2 > -3

Consider the two functions shown.

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.