Attributes of Parent Functions

Which of the following does NOT describe the graph of the logarithmic parent function?

• The graph has a domain of all positive real numbers.

• The graph has a range of all real numbers.

• The x-intercept is 1.

• The x-axis is the horizontal asymptote.

Which of the following parent 

functions have the origin as the

 x- and y-intercepts?

SELECT ALL THAT APPLY

• $f\left(x\right)=\left|x\right|$

• $f\left(x\right)=\log_{10}\ x$

• $f\left(x\right)=x^3$
  

• $f\left(x\right)=\frac{1}{x}$

• $f\left(x\right)=\sqrt{x}$

Which of the following parent functions does not a line of symmetry.

(Not symmetric about the x- or y-axis)

• Rational

• Absolute Value

• Cubic

• Quadratic

Which of the following parent function is symmetric about the origin?

• Absolute Value

• Cube Root

• Logarithmic

• Rational Squared

Which of the following parent functions do not have any form of symmetry?

SELECT ALL THAT APPLY

• Exponential

• Rational Squared

• Logarithmic

• Square Root

• Quadratic

Which of the following parent functions have a restricted range?

SELECT ALL THAT APPLY

• Exponential

• Rational Squared

• Logarithmic

• Square Root

• Linear

Which of the following parent functions

have a domain and range of

all real numbers?

SELECT ALL THAT APPLY

• Constant

• Quadratic

• Linear

• Cubic

• Exponential

Which of the following parent functions is symmetric about the y-axis?

SELECT ALL THAT APPLY

• Rational Squared

• Absolute Value

• Cube Root

• Linear

• Quadratic

Which of the following graphs have a horizontal asymptote at y = 0?

I. Rational
II. Rational Squared
III. Exponential
IV. Logarithmic
V. Quadratic

• IV and V

• I, III, and IV

• I, II, and IV

• I, II, III

Which of the following parent functions have a minimum point at (0, 0)?

SELECT ALL THAT APPLY

• Cube Root

• Quadratic

• Absolute Value

• Cubic

• Square Root