Functions and Operations Quiz
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Questions and Answers

What is the formula for calculating the slope of a line?

  • m = (y2 - y1) / (x2 - x1) (correct)
  • m = (x2 - x1) / (y2 - y1)
  • m = (y1 + y2) / (x1 + x2)
  • m = (x1 + x2) / (y1 + y2)

    • If the coordinates of Point 1 are (3, 6), what are the values of x1 and y1?

  • x1 = 6, y1 = 3
  • x1 = 2, y1 = 4
  • x1 = 3, y1 = 6 (correct)
  • x1 = 4, y1 = 2

    • What is the y-intercept of the function y = 2/5x + 3?

  • 3 (correct)
  • 2
  • -2
  • -3

    • If a line has a slope of -3/4, what is the change along the y-axis if there is a change of 4 units along the x-axis?

    <p>-5</p> Signup and view all the answers

    In the function y = 3x - 5, what is the slope of the line?

    <p>3</p> Signup and view all the answers

    For the given points (-2, 1) and (4, -3), what is the slope of the line passing through these points?

    <p>-1/3</p> Signup and view all the answers

    What would be the result if the function y = -2x + 7 was replaced with y = -2x + 4?

    <p>Less steep slope</p> Signup and view all the answers

    If a line has a negative slope, what can be said about its direction?

    <p>Falling from left to right</p> Signup and view all the answers

    What happens to the value of 'm' when a line becomes steeper?

    <p>'m' increases</p> Signup and view all the answers

    In a graph, how can you determine if a line is parallel to the x-axis?

    <p>'m' equals zero</p> Signup and view all the answers

    What does a function do with each value fed into it?

    <p>Applies the same operation to each value</p> Signup and view all the answers

    If a machine multiplies each value by 2 and adds 1, what would be the result if the value 3 is fed into the machine?

    <p>6</p> Signup and view all the answers

    What is the purpose of a function in relation to the values fed into it?

    <p>To return unique values for each input</p> Signup and view all the answers

    In the Celsius to Fahrenheit conversion function, what is the result when the value 0 is input?

    <p>-32</p> Signup and view all the answers

    What is the key characteristic of a function in its relationship between inputs and outputs?

    <p>Associating each input with exactly one output</p> Signup and view all the answers

    What does it mean for a variable to be independent in mathematics?

    <p>It remains constant and unaffected by other variables</p> Signup and view all the answers

    When graphing a function by plotting points, what do the x- and y- coordinates represent?

    <p>The input and output values of the function</p> Signup and view all the answers

    In the function y = 1/2x^2 - 4x + 6, which term affects the shape of the graph the most?

    <p>1/2x^2</p> Signup and view all the answers

    What does it mean if a function is linear?

    <p>The graph is always a straight line</p> Signup and view all the answers

    How many values are needed to create at least two coordinate pairs when graphing a function?

    <p>Two values</p> Signup and view all the answers

    What is the slope of the line passing through the points (-1, 3) and (5, 7)?

    <p>4</p> Signup and view all the answers

    If the y-intercept of a line is -4, what is the equation of the line if its slope is 3?

    <p>$y = 3x - 4$</p> Signup and view all the answers

    In the function $y = -2x + 6$, what is the y-coordinate when x = -3?

    <p>-6</p> Signup and view all the answers

    If a line has a slope of 0, what can be said about its direction?

    <p>It is horizontal.</p> Signup and view all the answers

    What are the coordinates of a point on the line y = 2x + 8?

    <p>(4, 16)</p> Signup and view all the answers

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