WorksheetsUnderstanding Functions and Their Graphs
Total questions: 10
Worksheet time: 5mins
What is the equation of the identity function?
y=x2
y=x
y=∣x∣
y=x1
Which of the following describes the shape of the square function's graph?
A straight line
A V-shape
A parabola
A horizontal line
How does the cube function y=x3 behave for negative values of x ?
The output is always positive
The output is always negative
The output is the same sign as x
The output remains constant
Which function creates a V-shaped graph?
y=x2
y=∣x∣
y=x3
y=x1
What is the domain of the reciprocal function y=x1 ?
All real numbers
All real numbers except 0
Only positive numbers
Only negative numbers
Which of the following is not true about the square root function y=x ?
It is only defined for x≥0
It has a curve that starts at the origin and increases
It has two branches
It does not exist for negative x values
What is the key difference between the cube root function and the square root function?
The cube root function is undefined for negative numbers
The cube root function has two branches
The cube root function is defined for all real numbers, while the square root function is not
The cube root function has a V-shape
What is the range of the identity function y=x ?
All real numbers
Only positive numbers
Only negative numbers
All real numbers except 0
Which of the following functions has a horizontal asymptote?
y=x2
y=∣x∣
y=x3
y=x1
For the function y=x2 , what is the effect of a negative coefficient on the graph?
The graph shifts upwards
The graph shifts downwards
The graph reflects over the x-axis
The graph becomes a V-shape
