Question

Which of the following represents the graph of f(x) = 2x − 5?

A) graph of exponential rising up to the right, through the point 0, negative 4

B) graph of exponential rising up to the right, through the point 0, 6

C) graph of exponential rising up to the right, through the point 0, 3

D) graph of exponential rising up to the right, through the point 0, negative 1

Answer 1

it's going up and to the right (slope of 2/1 or up 2 right 1) through the point 0,-5 as you set x to 0 to get f(x)=2(0)-5 , f(x)=0-5, f(x)=-5. getting points 0,-5

Answer 2

A) graph of exponential rising up to the right, through the point 0, negative 4

Explanation:

The given function is f(x) = 2ˣ - 5

The graph of a function is said to be exponential if the function is of the form: f(x) = aˣ, where a is a positive real number but not equal to 1.

Rising means the value of y-intercept or point from where the value of x and y is increasing rapidly.

when we put x = 0 in f(x) then we get f(x) = 2⁰ - 5 = -4

Hence, the graph of the given function is exponential and rising to the right through the point (0, -4).