25 Questions
What is the formula for calculating the slope of a line?
m = (y2 - y1) / (x2 - x1)
If the coordinates of Point 1 are (3, 6), what are the values of x1 and y1?
x1 = 3, y1 = 6
What is the y-intercept of the function y = 2/5x + 3?
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?
-5
In the function y = 3x - 5, what is the slope of the line?
3
For the given points (-2, 1) and (4, -3), what is the slope of the line passing through these points?
-1/3
What would be the result if the function y = -2x + 7 was replaced with y = -2x + 4?
Less steep slope
If a line has a negative slope, what can be said about its direction?
Falling from left to right
What happens to the value of 'm' when a line becomes steeper?
'm' increases
In a graph, how can you determine if a line is parallel to the x-axis?
'm' equals zero
What does a function do with each value fed into it?
Applies the same operation to each value
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?
6
What is the purpose of a function in relation to the values fed into it?
To return unique values for each input
In the Celsius to Fahrenheit conversion function, what is the result when the value 0 is input?
-32
What is the key characteristic of a function in its relationship between inputs and outputs?
Associating each input with exactly one output
What does it mean for a variable to be independent in mathematics?
It remains constant and unaffected by other variables
When graphing a function by plotting points, what do the x- and y- coordinates represent?
The input and output values of the function
In the function y = 1/2x^2 - 4x + 6, which term affects the shape of the graph the most?
1/2x^2
What does it mean if a function is linear?
The graph is always a straight line
How many values are needed to create at least two coordinate pairs when graphing a function?
Two values
What is the slope of the line passing through the points (-1, 3) and (5, 7)?
4
If the y-intercept of a line is -4, what is the equation of the line if its slope is 3?
$y = 3x - 4$
In the function $y = -2x + 6$, what is the y-coordinate when x = -3?
-6
If a line has a slope of 0, what can be said about its direction?
It is horizontal.
What are the coordinates of a point on the line y = 2x + 8?
(4, 16)
Explore the concept of functions by imagining a machine that applies operations like division by two or multiplication by three to numerical values. Just like a function, the machine performs the same operation on each input and returns a value. Test your understanding of functions and operations with this quiz!
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
