Question

Find f(2) if f(x) = (x + 1)2.Graph ƒ(x) = -x + 6. Click on the graph until the graph of ƒ(x) = -x + 6 appears.

Answer 1

1.

f(x) = (x + 1)²

f(2) → put the x = 2 to the equation of the function

f(2) = (2 + 1)² = 3² = 9

2.

f(x) = -x + 6

It's a linear function. We need only two points to draw a graph.

We choose any values of x and calculate the value of y:

for x = 0 → y = -0 + 6 = 6 → (0, 6)

for x = 6 → y = -6 + 6 = 0 → (6, 0)

Answer 2

f(2)= 3

Explanation:

Find f(2) if f(x) = (x + 1)

To find f(2) plug in 2 for x in the given function
`f(x)= x+1`

`f(2)=2+1=3`

When x=2, f(2)= 3

Graph the fuction

`f(x)=-x+6`

`y=-x+6`

To graph the given f(x), find out x and y intercept

Plug in 0 for x and find out y, y=6. So y intercept is (0,6)

Plug in 0 for y and find out x, 0=-x+6.x=6. So y intercept is (6,0)

Plot the x intercept and y intercept