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 (B)</p> Signup and view all the answers

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

<p>3 (D)</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 (C)</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 (B)</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 (B)</p> Signup and view all the answers

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

<p>'m' increases (A)</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 (A)</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 (D)</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 (D)</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 (B)</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 (D)</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 (C)</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 (D)</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 (C)</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 (D)</p> Signup and view all the answers

What does it mean if a function is linear?

<p>The graph is always a straight line (B)</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 (A)</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 (D)</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>$y = 3x - 4$ (B)</p> Signup and view all the answers

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

<p>-6 (C)</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. (D)</p> Signup and view all the answers

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

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