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Math  /  Algebra

Question\#10: Consider the function below. Find f(−3)f(-3) * f(x)=2x2−10f(x)=2 x^{2}-10

Studdy Solution

STEP 1

1. The function f(x)=2x2−10 f(x) = 2x^2 - 10 is a quadratic function.
2. To find f(−3) f(-3) , we need to substitute x=−3 x = -3 into the function.

STEP 2

1. Substitute the value of x=−3 x = -3 into the function.
2. Simplify the expression to find f(−3) f(-3) .

STEP 3

Substitute x=−3 x = -3 into the function f(x)=2x2−10 f(x) = 2x^2 - 10 :
f(−3)=2(−3)2−10 f(-3) = 2(-3)^2 - 10

STEP 4

Calculate the square of −3-3:
(−3)2=9 (-3)^2 = 9

STEP 5

Multiply the result by 2:
2×9=18 2 \times 9 = 18

STEP 6

Subtract 10 from the result:
18−10=8 18 - 10 = 8
The value of f(−3) f(-3) is:
8 \boxed{8}

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