P3.1: Graph features
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Last updated almost 4 years ago
8 questions
Note from the author:
You will use Desmos for this assignment.
When you type a word (minimum, maximum, increasing, decreasing) type just the word, no spaces or punctuation.
You may type "infinity" and "-infinity" without quote marks if the infinity symbol is giving you issues.
This video explains end behaviors.
You will use Desmos for this assignment.
When you type a word (minimum, maximum, increasing, decreasing) type just the word, no spaces or punctuation.
You may type "infinity" and "-infinity" without quote marks if the infinity symbol is giving you issues.
This video explains end behaviors.
1
Consider the quadratic function: f(x) = x^{2}+4x-6
The vertex is at _______ (use (x, y) format, one space after the comma).
The vertex is a _______ (minimum, maximum).
The axis of symmetry is _______ (your answer should include an equal sign).
The function is increasing on the interval _______ (use (#, #) format. For \infty, copy/paste from here).
The function is decreasing on the interval _______
As x \rightarrow \infty, f(x) \rightarrow _______
As x \rightarrow -\infty, f(x) \rightarrow _______
1
Consider the quadratic function: f(x) = (x-2)^{2}+4
The vertex is at _______ (use (x, y) format, one space after the comma).
The vertex is a _______ (minimum, maximum).
The axis of symmetry is _______ (your answer should include an equal sign).
The function is increasing on the interval _______ (use (#, #) format. For \infty, copy/paste from here).
The function is decreasing on the interval _______
As x \rightarrow \infty, f(x) \rightarrow_______
As x \rightarrow -\infty, f(x) \rightarrow_______
1
Consider the quadratic function: f(x) = -3x^{2} + 6x
The vertex is at _______ (use (x, y) format, one space after the comma).
The vertex is a _______ (minimum, maximum).
The axis of symmetry is _______ (your answer should include an equal sign).
The function is increasing on the interval _______ (use (#, #) format. For \infty, copy/paste from here).
The function is decreasing on the interval _______
As x \rightarrow \infty, f(x) \rightarrow _______
As x \rightarrow -\infty, f(x) \rightarrow _______
1
Consider the quadratic function: f(x) = (x+1)^{2}-3
The vertex is at _______ (use (x, y) format, one space after the comma).
The vertex is a _______ (minimum, maximum).
The axis of symmetry is _______ (your answer should include an equal sign).
The function is increasing on the interval _______ (use (#, #) format. For \infty, copy/paste from here).
The function is decreasing on the interval _______
As x \rightarrow \infty, f(x) \rightarrow _______
As x \rightarrow -\infty, f(x) \rightarrow _______
1
Consider the square root function: f(x) = \sqrt{x+3}
The vertex is at _______ (use (x, y) format, one space after the comma).
The domain is _______ (use interval notation. For \infty, copy/paste from here.)
The range is _______ (use interval notation).
This function is _______ (increasing, decreasing).
1
Consider the square root function: f(x) = -\sqrt{x-1}+2
The vertex is at _______ (use (x, y) format, one space after the comma).
The domain is _______ (use interval notation. For \infty, copy/paste from here.)
The range is _______ (use interval notation).
This function is _______ (increasing, decreasing).
1
Consider the square root function: f(x) = 2\sqrt{x+5}+6
The vertex is at _______ (use (x, y) format, one space after the comma).
The domain is _______ (use interval notation. For \infty, copy/paste from here.)
The range is _______ (use interval notation).
This function is _______ (increasing, decreasing).
1
Consider the square root function: f(x) = \frac{1}{3}\sqrt{1-x}+2
The vertex is at _______ (use (x, y) format, one space after the comma).
The domain is _______ (use interval notation. For \infty, copy/paste from here.)
The range is _______ (use interval notation).
This function is _______ (increasing, decreasing).