Find f(0), if not supplied, and then find the equation of the given linear function.
x 1 2 3 4
f(x) 5 8 11 14
f(0) =

incorrect: your answer is incorrect.
f(x) =

incorrect: your answer is incorrect.

Part 1)

Part 2)

Step-by-step explanation:

Part 1) Find f(0)

we know that

Looking at the data in the table

When the value of x increases by 1 unit, the value of y increases by 3 units

therefore

When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2

thus

This value represent the y-intercept

Part 2) Find the equation of the given linear

Find the slope

take the points (1,5) and (2,8)

The equation of the line in slope intercept form is equal to

we have

substitute

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!