Question

99 Point question - Consider the graph of f(x) below. (See attachment)

Answer 1

A linear function is a straight line, so that's clearly not it

A quadratic function has one point where is switches from going up to going down (or down to up), but this has two, so that's not it.

A cubic function has 2 points where it goes from down to up or up to down, so this may just work.

An exponential function has a constant to the power of something, so it's either staying constantly up or down after 0 or jumping up and down with every x value, which it isn't doing.

Logarithmic functions are similar to exponential functions in that it usually stays either going up or down the whole time.

Using our definitions, a cubic function is the only one that fits

Answer 2

Linear functions are graphs that contain a straight line from Point A to Point B. Additionally, the linear function has to have one independent variable and one dependent variable.

The general form of any quadratic function is $f(x)=ax^2+bx+c$ and always creates a parabola. A parabola is like a cone but with out the circle. 

In a Cubic Function the variables a,b,c,d are real numbers but (a) does not equal 0. Additionally, the quadratic function has a form of  $f (x) = a x^3 + b x^2 + c x + d$. Similarly, it has 2 points that go down to up or vise versa, up to down. 

In the exponential function, the base is now the fixed number, and the power becomes the variable. For example, an exponential function may look like $g(x) = 2x$. 

logarithmic functions are the opposite of exponential functions and they go up or down. 

Therefore, the correct answer would be a cubic function because it is the only one that shows symptoms that compare to the graph.