Introduction to Functions

Question 1

Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?

Revolt · Accepted Answer

The independent variable is time and the dependent variable is distance.

Question 2

Determine the domain and range of the given function.

Revolt · Accepted Answer

✔ all real numbers; The domain is .: all real numbers; The range is .: all real numbers greater than or equal to –2

Question 3

all real numbers✔ all real numbers greater than or equal to –2{x: x = –2, –1, 0, 1, 2}X {y: y = –2, –1, 0, 1, 2}

Revolt · Accepted Answer

✔ all real numbers greater than or equal to –2

Question 4

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Revolt · Accepted Answer

✔ any real number except 5; The value of x can be .: any real number except 5; The value of y can be .: any real number

Question 5

✔ any real numberany real number except –2any real number except 5 and –2

Revolt · Accepted Answer

✔ any real number

Introduction to Functions Answers

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