Zeros of Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What are the zeros of a function?
Back
The zeros of a function are the values of x for which the function f(x) = 0.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
How can you find the zeros of a function using a graphing calculator?
Back
You can find the zeros by entering the function into the calculator, using the 'y=' button, and then pressing 'graph' to visualize where the function crosses the x-axis.
3.
FLASHCARD QUESTION
Front
What does it mean if a function has two zeros?
Back
It means that the graph of the function intersects the x-axis at two distinct points.
Tags
CCSS.HSF-IF.C.7C
4.
FLASHCARD QUESTION
Front
How do you determine the number of zeros a polynomial function has?
Back
The number of zeros can be determined by the degree of the polynomial; a polynomial of degree n can have up to n real zeros.
5.
FLASHCARD QUESTION
Front
What is the zero of the function f(x) = 3x + 9?
Back
The zero is x = -3, found by setting f(x) to 0 and solving for x.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is the significance of the x-intercepts of a graph?
Back
The x-intercepts represent the zeros of the function, indicating where the function's value is zero.
Tags
CCSS.HSF-IF.C.7C
7.
FLASHCARD QUESTION
Front
How do you find the zeros of the function f(x) = x^3 - 7x^2?
Back
You can find the zeros by factoring the polynomial or using a graphing calculator to identify where the function equals zero.
Tags
CCSS.HSF-IF.C.7C
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