Exponential & Logarithmic Worksheet (8 Problems)

About this resource

What's inside this resource

This is an Exponential + Logarithmic Characteristics Worksheet that will give students practice with finding characteristics.

There are 8 problems - 4 per page.

Students will complete the characteristics for each function that is given as an equation. They can show any necessary scratch work on a separate sheet of paper.

In the classroom

Teaching tips & learning objectives

Learning objectives

State the domain and range of an exponential or logarithmic function in interval notation
Identify the horizontal or vertical asymptote of a transformed exponential or logarithmic function
Find the x and y intercepts of a transformed exponential or logarithmic function
Determine intervals of increase and decrease
Describe end behaviour as x approaches infinity and as x approaches the asymptote

Teaching tips

The graph problems and the equation problems are separate sections, so you can assign the graph half first and the equation half as the follow-up
The instructions tell students to do scratch work on a separate sheet, so there is no working space built into the page
The key uses interval notation consistently, which makes it a good model for students who are still writing domains in words

Skills covered

analysing exponential functions
analysing logarithmic functions
interval notation
asymptotes
end behaviour
intercepts of transformed functions

Good to know

Questions teachers ask about this resource

Is an answer key included?

Yes - a completed KEY version of both sheets with every field filled in.

What level of maths is this?

Algebra 2 or Precalculus - roughly Grade 10 to 12. It assumes interval notation, transformations and end behaviour are already familiar.

How many problems are there?

Eight - four read from graphs and four worked from equations.

Are there other versions of this worksheet?

The footer marks this as Version 1, which implies other versions exist, but only this one is in the download.

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Resource details

Concepts & topics

Core concepts

exponential and logarithmic function families
domain and range
vertical and horizontal asymptotes
increasing and decreasing intervals
end behaviour
function transformations

Topics

exponential logarithmic functions graphing equations exponential characteristics logarithmic worksheet logarithmic function characteristics characteristics of logarithmic functions

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Categories this resource belongs to

9th Grade Math Worksheets Math Worksheets Algebra Worksheets Popular Math Worksheets Fun Math Worksheets 10th Grade Worksheets

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Exponential & Logarithmic Functions – 8 Problems

What's inside this resource