P3.1: Graph features

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

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

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

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

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).

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).

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).

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).