Keystone Test Algebra: Functions and Data 3

Question 1

A linear function passes through points (0, -3) and (2, 5). What is the slope?

Accepted Answer

4

Answer

Slope = (5 - (-3)) / (2 - 0) = 8 / 2 = 4.

Question 2

Which measure of central tendency is most affected by an outlier?

Accepted Answer

Mean

Answer

The mean is calculated using all values, so an extreme outlier significantly pulls the mean toward it.

Question 3

A function f has domain {-2, -1, 0, 1, 2} and is defined by f(x) = x² + 1. What is the range?

Accepted Answer

{1, 2, 3, 5}

Answer

f(-2)=5, f(-1)=2, f(0)=1, f(1)=2, f(2)=5, so the range (unique outputs) is {1, 2, 5} — wait, that's only 3 values; the set of outputs is {1, 2, 5}.

Question 4

Data set A: {2, 4, 6, 8, 10}. Data set B: {1, 4, 6, 8, 11}. Which statement is true?

Accepted Answer

Both sets have the same mean and range

Answer

Both sets have mean 6 and range 8 (10-2=8 and 11-1=10) — actually range A=8, range B=10, so means are equal but ranges differ.

Question 5

If h(x) = 5x + 3 and h(a) = 28, what is the value of a?

Accepted Answer

5

Answer

Set 5a + 3 = 28, so 5a = 25, giving a = 5.

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