Quizzes > High School Quizzes > Mathematics
Practice Quiz: Characteristics of Functions Part 1
Boost your skills with targeted review questions
This quiz helps you practice characteristics of functions, like domain, range, intercepts, intervals of increase and decrease, and end behavior. Work through 20 quick questions to spot gaps before a test or quiz and get faster at reading features from graphs and tables.
Study Outcomes
- Apply function notation to express mathematical relationships.
- Analyze different types of functions to identify linear and non-linear patterns.
- Evaluate domains and ranges to determine viable input and output values.
- Interpret graphs and equations to distinguish key characteristics of functions.
- Assess changes in function behavior based on modifications to their equations.
2-1 Quiz: Characteristics of Functions Part 1 Cheat Sheet
- Functions Are Fair Deals - A function is like a perfect vending machine: every button (input) gets you exactly one snack (output), no surprises! This means you'll never press one button and get two treats. Grab a deeper dive with .
- Function Notation Magic - When you see f(x), think of f as the machine name and x as the button you press. For example, if f(x) = x², pressing button 3 gives you 9. Learn all the neat tricks in .
- Plug-and-Play Evaluation - Evaluating a function is just feeding it numbers: if f(x) = 2x + 3, then f(5) = 2·5 + 3 = 13. It's like putting coins in a slot and watching the result. Practice more fun examples with .
- Domain & Range Detective - The domain is your list of allowed inputs, and the range is everything the function can spit out. For √x, you can only press buttons ≥ 0, and you'll never get a negative snack! Explore hands-on tips at .
- Vertical Line Test Adventure - Draw a vertical line through your graph; if it crosses more than once, it's not a function. It's like checking if two candies fall from the same chute - only one candy should drop! Try interactive demos on .
- One-to-One Heroics - One-to-one means each snack is uniquely tied to one button. Use the horizontal line test: if a horizontal swipe hits the curve twice, you've got duplicates! Master inverses with .
- Meet the Function Family - From constant (f(x)=c) and identity (f(x)=x) to absolute value, quadratic, cubic, reciprocal, and root functions - each has its own personality and graph shape. Knowing their looks makes spotting them in the wild a breeze! Check out examples in .
- Is It a Function? - Test any set of pairs by making sure no input repeats with different outputs. {(1,2),(2,3),(3,4)} is golden, but {(1,2),(1,3),(2,4)} fails the vibe check! Practice more with .
- Graphing Your Function Journey - Every point (x, f(x)) is a pin on your chalkboard map. Plotting these points reveals peaks, valleys, and the overall personality of your function. Visual learners, rejoice with .
- Range-Finding Expedition - Analyze your formula or graph to see how far outputs can roam. For f(x)=x², outputs are always ≥ 0 since squares don't go negative. Unlock tips for tricky ranges at .