Question

The function shown in the graph is
A) f(x) = x - 1
B) f(x) = 2x - 1
C) f(x) = x - 0.5
D) f(x) = 2x - 0.5

Answer 1

Answer:B

Step-by-step explanation:

if you substitute any convenient value of x into f(x)= 2x-1 you see that it holds true when looking for the corresponding value of y.

For example,if you substitute x=5 into function B you get:

f(5)= 2(5) -1 = 10- 1 =9

Now,if you go on x =5 on the graph and check the corresponding value of y you that this value it is indeed 9.

Answer 2

Answer:

B) f(x) = 2x - 1

Step-by-step explanation:

Look at the picture.

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{\Delta y}{\Delta x}=\dfrac{rise}{run}$

We have:

$rise=4\\run=2\\b=-1$

The slope:

$m=\dfrac{4}{2}=2$

Substitute to the equation of a line:

$y=2x+(-1)=2x-1$