Question

Evaluate the function f(x) = x2 + 5x + 4 when x:{-4, -2,0, 1, 3, 5}

Answer 1

Step-by-step explanation:

Here, we want to get the values of f(x) at the given values of x

To get that, we have to substitute the values of x into f(x)

We take the x-values one after the other

when x = -4:

`f(-4)=(-4)^2+5(-4)\text{ + 4 = 0}`

when x = -2:

`f(-2)=(-2)^2+5(-2)\text{ + 4 = -2}`

when x = 0:

`f(0)=0^2+5(0)\text{ + 4 = 4}`

when x = 1:

`f(1)=1^2+5(1)\text{ + 4 = 10}`

when x = 3:

`f(3)=3^2+5(3)\text{ + 4 = 28}`

when x = 5:

`f(5)=5^2+5(5)\text{ + 4 = 54}`

For the given values of x:

`f(x)\colon\mleft\lbrace0,-2,4,10,28,54\mright\rbrace`