The leading coefficient determines the shape of the graphs, such as how
the characteristic of a function are directed.
Correct response:
The graphs that represents functions that have a negative leading
coefficient are;
- Graph A, Graph B, and Graph C
Methods by which the correct options are selected
Graph A:
The function in graph A is x³
When the coefficient of x³ is negative, the value of the function rises as x decreases from 0 to -∞, and decreases as x increases from 0 to ∞
Therefore;
- The leading coefficient of Graph A is negative.
Graph B:
The value of the graph decreases as the magnitude of x increases
therefore, the graph is similar to a quadratic function, such that the leading
coefficient is negative, which inverts the function to give increasing output
with negative value as the value of x increases.
Therefore;
- The leading coefficient of the quadratic function in Graph B is negative.
Graph C:
The given function in graph C is a linear function having a negative slope,
therefore;
- The leading coefficient of x in the function in Graph C is negative.
Graph D:
The function of the graph in Graph D, that have y values that increases
exponentially as x increases is a quadratic function.
Given that y increases as the value of x increases, the leading coefficient
(coefficient of x²) is positive.
Therefore;
- The graphs that represents functions that have negative leading coefficient are; Graph A, Graph B, and Graph C.
Learn more about the factors that depend on leading coefficient of a function here:
https://brainly.com/question/12209936
