Exploring Linear Functions in Algebra 1

What is the definition of a function?

• A rule where every input has multiple outputs

• A rule where every input has exactly one output

• A rule where every output has multiple inputs

• A rule where every output has exactly one input

Which of the following is true about the domain of a function?

• It is the set of all possible outputs

• It is the set of all x-values

• It is the set of all possible relations

• It is the set of all y-values

What does the vertical line test determine?

• If a graph represents a function

• If a graph is a quadratic function

• If a graph is an exponential function

• If a graph is a linear function

Which of the following graphs is NOT a function?

• A straight line

• A circle

• A parabola

• An exponential curve

What is a linear function?

• A function that has an exponent

• A function that graphs as a curve

• A function that includes a radical sign

• A function that graphs as a straight line

Which of the following is NOT a characteristic of a linear function?

• It does not include radical signs

• It includes exponents

• It graphs as a straight line

• It can be written in slope-intercept form

How do you evaluate the function f(x) = 2x + 1 for x = 9?

• f(9) = 19

• f(9) = 20

• f(9) = 17

• f(9) = 18

What is the range of the function f(x) = 13x - x^2 for the domain {-2, 0, 2}?

• {-2, 13, 2}

• {-17, 13, 17}

• {-2, 0, 2}

• {-17, 0, 17}

If Jerome is constructing a table of values that satisfies the definition of a function, which number can be placed in the empty cell if the input is -1?

• 11

• 2

• 0

• -1

What type of graph would show how much Yara runs each day if she runs a quarter of a mile farther each day?

• A logarithmic graph

• An exponential graph

• A quadratic graph

• A linear graph