Question

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?

Answer 1

I think the answer will be A

Answer 2

Answer:

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graph intersect.

Step-by-step explanation:

Given  two functions are  one is quadratic function and other is exponential function.

From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function  intersect axis at origin (0,0).

From the given graph we can see that  graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.

From the given graph we can see that  the graph of an increasing quadratic function eventually exceed after intersection the  graph of an  increasing exponential function.

In option

A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graphs intersect.Therefore, it is true  we can see from the given graph.

B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.

C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection   not eventually ,the graph of an increasing quadratic function  will exceed an increasing exponential function .

D. t(x) , because an increasing exponential  function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.