Linear vs Nonlinear
This type of function creates a straight line when graphed.
What is a linear function?
A table showing input-output values for a function is called this.
What is a function table?
Identify the constant term in the expression y = mx + b that represents the slope.
What is m?
The point where a graph crosses the y-axis is called this.
What is the y-intercept?
If a car travels at a constant speed of 60 miles per hour, describe the function relating time in hours to distance in miles.
What is D = 60t?
The graph of this type of function is a curve.
What is a nonlinear function?
Given a function table where input 1 gives output 2, input 2 gives output 4, what is the rule for this function?
What is y = 2x?
The slope of a horizontal line is this number.
What is 0?
On a graph, a function's y-intercept determines this initial value.
What is the starting value?
A phone plan charges $25 per month plus $10 per gigabyte of data used. Write the function for the total monthly cost given g gigabytes of data.
What is C = 25 + 10g?
A function with the equation y = 3x + 5 is classified as this.
What is a linear function?
If a function's rule is y = 3x, what is the output when the input is 4?
What is 12?
Calculate the slope given the points (2, 3) and (4, 7).
What is 2?
Explain how you know if a graph represents a function by using this test.
What is the vertical line test?
A bakery charges a flat fee of $20 plus $2 per cupcake. Write the function for the cost C of ordering n cupcakes.
What is C = 20 + 2n?
Identify if y = x^2 is linear or nonlinear.
What is nonlinear?
Determine if the function rule y = x + 5 matches the table with inputs: 1, 2, 3 and outputs: 6, 7, 8.
What is yes?
Identify if the function y = 2x has a positive or negative slope.
What is a positive slope?
Describe the graph of the function y = 5.
What is a horizontal line?
A ride-sharing service charges an initial fee of $5 and $1.50 per mile. Write the function for the total cost T of a trip based on miles m.
What is T = 5 + 1.5m?
Compare y = 2x + 3 and y = x^2 in terms of type of graph.
What are linear and nonlinear respectively?
Identify an error if the function rule y = 2x doesn't align with inputs 3, 4, 5 giving outputs 6, 8, 9.
What is the last output should be 10 instead of 9?
How does the slope of a line y = -x compare to the slope of a line y = 3x?
What is the first slope is negative and the second slope is positive?
If a line passes through (0, 5) and has a slope of 3, give its equation.
What is y = 3x + 5?
A rental car company charges a base fee of $30 plus $0.20 per mile driven. Develop the function for the total cost based on miles driven m.
What is C = 30 + 0.2m?