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The function f(x) = x + is used to complete this table.
x: -1, 0, 1, 2 f(x): 1, 3/2, 2, 5/2

Which statements are true of the given function? Check all that apply.
f(-1/2)= -2
f(0)= 3/2
f(1)= -1
f(2)= 1
f(4)= 7/2

Respuesta :

carlosego
The first thing we must do for this case is to identify the function that models the table.We have a function of the form:
 [tex]f (x) = mx + b [/tex]
 Where,
 m: slope of the line
 b: cutting point with the y axis
 We observe that for x = 0 the value of the function is f (0) = 3/2. From here, it is concluded:
 [tex]b = 3/2 [/tex]
 Then, the change of rate is constant and equal to 1/2, therefore,
 [tex]m = 1/2 [/tex]
 So, the function is:
 [tex]f (x) = (1/2) x + 3/2 [/tex]
 Therefore, we have:
 [tex]f (-1/2) = (1/2) (- 1/2) + 3/2 = 5/4 f (0) = (1/2) (0) + 3/2 = 3/2[/tex]
 [tex]f (1) = ((1/2) (1) + 3/2 = 2 f (2) = (1/2) (2) + 3/2 = 5/2 f (4) = (1/2) (4) + 3/2 = 7/2[/tex]
 Answer:
 statements that are true of the given function:
 [tex]f (0) = 3/2 f (4) = 7/2[/tex]

Answer:

The answer is B. and E. the only fractions on there

Step-by-step explanation:


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