Exploring Parent Functions and Their Characteristics

What is the domain of the constant parent function?

• All negative numbers

• All real numbers

• Numbers between -1 and 1

• All positive numbers

Which point does the linear function f(x) = x pass through?

• (-1,-1)

• (2,2)

• (0,0)

• (1,1)

What shape does the graph of the absolute value function f(x) = |x| resemble?

• A U-shape

• A straight line

• A V-shape

• A circle

For the exponential function f(x) = b^x, what is the range?

• y > 0

• y ≤ 0

• y ≥ 0

• y < 0

Which of the following points does the quadratic function f(x) = x^2 pass through?

• (4,8)

• (1,2)

• (2,4)

• (3,6)

What is the domain of the square root function f(x) = √x?

• x ≥ 0

• x > 0

• x < 0

• x ≤ 0

Which of the following points does the cubic function f(x) = x^3 pass through?

• (4,16)

• (3,9)

• (2,4)

• (1,1)

What is the range of the cube root function f(x) = ∛x?

• All negative numbers

• All positive numbers

• Numbers between -1 and 1

• All real numbers

For the inverse function f(x) = 1/x, what is the domain?

• All positive numbers

• All real numbers except x ≠ 0

• All negative numbers

• Numbers between -1 and 1

Which point does the logarithmic function f(x) = log(x) pass through?

• (0,1)

• (1,0)

• (2,1)

• (1,2)