Questions: (a) Which function's graph is the least steep? Function 1 Function 2 Function 3 Function 4 (b) Which functions have graphs with slopes less than -2? (Check all that apply.) function 1 function 2 function 3 function 4 (c) Which function has the graph with the greatest y-intercept? Function 1 Function 2 Function 3 Function 4

Solution Steps

To solve the given questions, we need to analyze the slopes of the functions provided in the table. The slope of a function determines its steepness. We will extract the slopes from the given data and compare them to answer the questions.

1. Extract the slopes of the functions from the table.
2. Compare the slopes to determine which function's graph is the least steep.
3. Identify which functions have slopes less than -27.
4. Determine which function has the greatest y-intercept.

To find the least steep function, we compare the slopes of the functions. The slopes are given as follows:

• \( \text{Function 1}: \text{undefined} \)
• \( \text{Function 2}: -1 \)
• \( \text{Function 3}: 2 \)
• \( \text{Function 4}: \text{undefined} \)

Among the defined slopes, the least steep function is \( \text{Function 2} \) with a slope of \( -1 \).

We check which functions have slopes less than \( -27 \):

• \( \text{Function 1}: \text{undefined} \)
• \( \text{Function 2}: -1 \)
• \( \text{Function 3}: 2 \)
• \( \text{Function 4}: \text{undefined} \)

None of the functions have slopes less than \( -27 \).

The y-intercepts of the functions are:

• \( \text{Function 1}: \text{undefined} \)
• \( \text{Function 2}: \text{undefined} \)
• \( \text{Function 3}: -4 \)
• \( \text{Function 4}: 5 \)

The function with the greatest y-intercept is \( \text{Function 4} \) with a y-intercept of \( 5 \).

Final Answer