Question

Given the function f(x) =

2x2 + 3x + 10, find f(1) and 43). Choose the statement that is true concerning these two values.
The value of f(t) is the same as the value of 13).
The value of f(1) cannot be compared to the value of f(3)
The value of 1) is larger than the value of 43).
The value of f(1) is smaller than the va
2
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Answer 1

Explanation:

The given function is f(x) = -2x² + 3x + 10. We are asked to find f(1) and f(3).To find f(1), we substitute 1 in the place of x in the given function and evaluate it.
That is,f(1) = -2(1)² + 3(1) + 10= -2 + 3 + 10= 11To find f(3), we substitute 3 in the place of x in the given function and evaluate it. That is,f(3) = -2(3)² + 3(3) + 10= -18 + 9 + 10= 1We see that f(1) is larger than f(3).

Hence, the correct answer is "The value of f(1) is larger than the value of f(3)."

Answer 2

The value of f(1) is smaller than the value of f(3)

Explanation:

The correct question is

Given the function f(x) = 2x^2 + 3x + 10, find f(1) and f(3). Choose the statement that is true concerning these two values.

The value of f(1) is the same as the value of f(3).

The value of f(1) cannot be compared to the value of f(3).

The value of f(1) is larger than the value of f(3).

The value of f(1) is smaller than the value of f(3)

we have

`f(x)=2x^(2)+3x+10`

step 1

Find out the value of f(1)

substitute the value of x=1 in the function f(x)

so

For x=1

`f(1)=2(1)^(2)+3(1)+10`

`f(1)=15`

step 2

Find out the value of f(3)

substitute the value of x=3 in the function f(x)

so

For x=3

`f(3)=2(3)^(2)+3(3)+10`

`f(3)=37`

step 3

Compare the values

37> 15

so

f(3) > f(1)

or

f(1) < f(3)

therefore

The value of f(1) is smaller than the value of f(3)