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Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

In the pictured graph of f(x) = x^2 - 4x, for which values of x is f(x) > 0?

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1. In the pictured graph of f(x) = -2x^2 + 4x - 2, for which values of x is the function decreasing?

2. In the pictured graph of f(x) = x^2 + 6x, for which values of x is the function increasing?

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About This Quiz & Worksheet

This quiz and worksheet combo will help you test your understanding of different types of functions. The practice questions will check your ability to identify these functions, given an equation or graph.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Stating values of variables for which functions are positive or negative
  • Understanding increasing and decreasing functions
  • Identifying linear functions given equations or graphs

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Making connections - use your understanding of the different types of functions to answer a question about a decreasing function
  • Critical thinking - apply relevant concepts to examine information about linear functions in a different light
  • Problem solving - use your acquired knowledge to solve practice problems involving linear functions

Additional Learning

Find out more by going through the lesson called Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative. This lesson covers the following objectives:

  • Define linear and nonlinear functions
  • Understand how a function's y value is related to the x value
  • Define and differentiate between positive and negative functions
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