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Questions and Answers
Which statement best describes the asymptotic behavior of the graph of the function $f(x) = \log x$?
Which statement best describes the asymptotic behavior of the graph of the function $f(x) = \log x$?
- The graph of $f(x) = \log x$ approaches and does not cross the line $y = 0$. (correct)
- The graph of $f(x) = \log x$ has no asymptotic behavior.
- The graph of $f(x) = \log x$ approaches and does not cross the line $x = 0$.
- The graph of $f(x) = \log x$ approaches and crosses the line $y = 2$.
What is the intercept(s) of the function $f(x) = x^3$?
What is the intercept(s) of the function $f(x) = x^3$?
- $(-1, 0)$ and $(0, 0)$
- $(0, 0)$ (correct)
- $(1, 0)$ and $(0, 0)$
- $-0.5 < x < 0.5$
Which of the following represents the domain and range of $f(x) = \sqrt{x}$?
Which of the following represents the domain and range of $f(x) = \sqrt{x}$?
- $x > 0$, $y > 0$
- $x \geq 0$, $y > 0$
- $x \geq 0$, $y \geq 0$ (correct)
- $x > 0$, $y \geq 0$
Which of the following identifies the correct parent function and graph for the attributes shown below?\nDomain: $(-\infty, \infty)$\nRange: $[0, \infty)$\nx-intercept: $0$\ny-intercept: $0$\nReflectional symmetry across $x = 0$\nMinimum: $(0, 0)$
Which of the following identifies the correct parent function and graph for the attributes shown below?\nDomain: $(-\infty, \infty)$\nRange: $[0, \infty)$\nx-intercept: $0$\ny-intercept: $0$\nReflectional symmetry across $x = 0$\nMinimum: $(0, 0)$
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The graph of $g(x) = \log_2(x - 5) + 2$ is shown on the coordinate grid. Which statement about the domain, the y-intercept, and the x-intercept is true?
The graph of $g(x) = \log_2(x - 5) + 2$ is shown on the coordinate grid. Which statement about the domain, the y-intercept, and the x-intercept is true?
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