The function f(x) is defined as follows: Determine the following values of the function. f(-3) = a0 and f(2) = a1 i

Question:

The function f(x) is defined as follows:

f(x)= 3x+1 if x is less than or equal to 0

2x^2 if 0 4 if c is greater than or equal to 2

determine the following values of the function

f(-3)= __

f(2)= ___

The values are and

Explanation:

The function is defined by two parts,

if

if

To determine the value of , we shall substitute the value in the function because

Hence, we have,

Now, to determine the value of , we shall substitute the value in the function because

Hence, we have,

Thus, the values are and

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116