

Algebra 1A - FINAL REVIEW
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
How do you write a linear function for a fixed charge plus additional charges?
Back
The function can be written as f(x) = mx + b, where m is the cost per additional item (charm) and b is the fixed charge.
3.
FLASHCARD QUESTION
Front
What is the formula for exponential growth?
Back
The formula for exponential growth is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.
4.
FLASHCARD QUESTION
Front
How do you calculate the population after a certain number of years with exponential growth?
Back
Use the formula y = a(1 + r)^t, substituting a for the initial population, r for the growth rate, and t for the number of years.
5.
FLASHCARD QUESTION
Front
What is the difference between a linear function and an exponential function?
Back
A linear function increases by a constant amount, while an exponential function increases by a constant percentage.
6.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function; it indicates how much the output (y) changes for a unit change in the input (x).
7.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the value of the function when x = 0; it represents the starting point of the function on the y-axis.
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