Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
Answer:
9
Step-by-step explanation:
9.45 is rounded down to 9 because the number must reach half to round up. To round up to 10, it must be 9.5. hope this helps
1 yard = 3 feet
F ( y ) = 3 y
F ( 10.5 ) = 3 yard * 10.5 feet / yard = 31.5 feet
Answer:
The output will be 31.5
Answer: 10 units.
Step-by-step explanation:
The equation of the circle in Center-radius form is:
Where the center is (h,k) and "r" is the radius.
The equation of the circle given is:
You can observe that is written in Center-radius form.
Then, you can identify that:
Knowing this, you need to solve for "r" to find the lenght of the radius.
This is:
Therefore, the lenght of the radius is 10 units.
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
