Question

Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.

Answer 1

Answer:

Leading coefficient: negative

Maximum vertex point

Step-by-step explanation:

Answer 2

Answer:

The function has a negative leading coefficient and a maximum vertex point

Explanation:

This function's leading coefficient is determined by whether it is concave up or concave down, meaning it has an Up and Up end behavior for a positive leading coefficient and a Down and Down end behavior for a negative coefficient.

This function's end behavior is Down and Down, so it must have a negative leading coefficient.

The function has a minimum vertex when the function has a positive leading coefficient and a maximum vertex point when the function has a negative leading coefficient.

This means that the functions vertex is the highest or lowest possible value of the function (the rest of the function continues forever in whichever direction.

This particular function has a maximum vertex as there is no point above the vertex here and the function has a negative leading coefficient.