1.4 - Key Features of Functions (Part 2)

Which of the following functions does NOT have the domain of

 $\left(-\infty,\ \infty\right)$ ?

• 
• 
• 
• 

Which of the following statements is/are true of the function

 $f\left(x\right)$  (shown above)? You may select more than one statement?

• Positive on the interval  $\left(-3,\ -1\right)$  

• Decreasing on the interval  $\left(-4,\ 2\right)$  

• Y-intercept at  $\left(0,\ 2\right)$  

• Range of  $\left(-\infty,\ \infty\right)$  

•  $f\left(x\right)$ is a cubic function

On which interval is f(x) (shown above) increasing?

•  $\left(2,\ \infty\right)$  

•  $\left(4,\ \infty\right)$  

•  $\left(-\infty,\ 2\right)$  

•  $\left(-\infty,\ 0\right)$  

Which function has a relative minimum at the point (2, -3)?

• 
• 
• 
• 

Where is the relative maximum on f(x)?

• (-4.5, -1)

• (-2, 0)

• (0, -3)

• (1, 0)

On which interval(s) is f(x) positive? (You may select more than one answer)

• $\left(-\infty,\ 0\right)$

• $\left(-\infty,\ 1\right)$

• $\left(0,\ 2\right)$

• $\left(1,\ 3.75\right)$

• $\left(5,\ \infty\right)$

Which of the following statements is NOT true about f(x)?

• f(x) is a cubic function

• f(x) has 3 x-intercepts

• The range of f(x) is [-4, 2]

• The domain of f(x) is all real numbers.

Describe the interval(s) on which f(x) is positive. Use interval notation.

What is true of the function f(x) on the interval [-3, 0]?

• It is positive

• It is negative

• It is increasing

• It is decreasing

What is the range of f(x)?

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-3,\ 3\right)$  

•  $\left[-3,\ 3\right]$  

•  $\left(0,\ 3\right)$