Comparing Functions
Grade 8 · Math · Functions · Vermont, USA
Lesson Summary
Compare functions presented in different formats such as equations, tables, and graphs.
Explanation
Sometimes you need to compare two functions that are shown in different ways—one might be a graph and the other a table. To compare them fairly, find the same information for each, such as the rate of change or starting value. You can also evaluate both at the same input to see which gives a larger or smaller output. This skill is important for deciding which option is better in real-world situations.
Practice Questions
Q1: Function A: y = 3x + 1. Function B starts at 2 and increases by 4 each step. Which has a greater rate of change?
Answer: Function B, because its rate of change is 4 per step compared to Function A's rate of 3.
Q2: At x = 0, which function from the previous question has the higher output?
Answer: Function B starts at 2 while Function A gives y = 1, so Function B has the higher output at x = 0.
Q3: If one function is shown as a steep upward line and another as a gentle upward line, which grows faster?
Answer: The steeper line grows faster because a steeper slope means a larger rate of change.
People Also Ask
What is Comparing Functions in Grade 8 Math?+
Comparing Functions is a lesson in the Functions chapter of Grade 8 Math. It is part of the Vermont, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Comparing Functions?+
Comparing Functions is taught in Grade 8 as part of the Math curriculum in Vermont, USA.
How can I help my child with Functions in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Functions topics.