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Functions & Graph Properties

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Practice: Functions & Graph Properties

True or False:
The function y=xx2−1y=\dfrac{x}{x^2-1} is odd.
More Even and Odd Functions Questions:
Properties of Functions
Which of the following statements is/are true about the functions f(x)=0f\left(x\right)=0, g(x)=x3 cos⁡xg\left(x\right)=x^3\ \cos x, and h(x)=esin⁡xh\left(x\right)=e^{\sin x}?
i. Exactly two of the functions are even.
ii. Exactly two of the functions are odd.
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=x2x2−6f(x)=\dfrac{x^2}{x^2-6} even, odd, or neither?
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=xx2−1f(x)=x\sqrt{x^2-1} even, odd, or neither?
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=−2x3+5y=-2x^3+5 is odd.
Properties of Functions
Which of the following statements is/are true about the functions f(x)=0f\left(x\right)=0, g(x)=x3 cos⁡xg\left(x\right)=x^3\ \cos x, and h(x)=esin⁡xh\left(x\right)=e^{\sin x}?
i. Exactly two of the functions are even.
ii. Exactly two of the functions are odd.
More Even and Odd Functions Questions:
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=x2x2−6f(x)=\dfrac{x^2}{x^2-6} even, odd, or neither?
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=xx2−1f(x)=x\sqrt{x^2-1} even, odd, or neither?
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=−2x3+5y=-2x^3+5 is odd.
More Even and Odd Functions Questions:
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=x2x2−6f(x)=\dfrac{x^2}{x^2-6} even, odd, or neither?
Combining Families of Functions
Practice: Combining Families of Functions
Is the function f(x)=xx2−1f(x)=x\sqrt{x^2-1} even, odd, or neither?
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=−2x3+5y=-2x^3+5 is odd.
More Basic Functions & Graph Properties Questions:
Functions & Graph Properties
Practice: Functions & Graph Properties
The function f(x) is a quadratic function continuous over all real numbers. The function f(x) has the following properties:
Decreases over the interval (−∞,−38)\Bigg(-\infin,-\dfrac{3}{8}\Bigg)
Functions & Graph Properties
Practice: Functions & Graph Properties
The function f(x) is a quadratic function continuous over all real numbers. The function f(x) has the following properties:
Increases over the interval (−∞,−32)(-\infin,-32)
Functions & Graph Properties
Practice: Functions & Graph Properties
True or False:
The function y=−2x3+5y=-2x^3+5 is odd.
Functions & Graph Properties
Practice: Functions & Graph Properties
Determine the interval of increase/decrease for each of the following functions:
Functions & Graph Properties
Practice: Functions & Graph Properties
Determine the interval of increase/decrease for each of the following functions: