We read your photo as:

الدالة المعرفة هي f(x) = 2x2 − 8x + 6. احسب f(0) و f(2) و f(4).

Mathematics

ScanSolve AI Answer

Answer

f(0)=6f(0) = 6

f(2)=−2f(2) = -2

f(4)=6f(4) = 6

Graph of f(x) = 2x² − 8x + 6

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of f(x) = 2x² − 8x + 6
Pointxy
y-intercept06
x-intercept10
Minimum2−2
x-intercept30

Step-by-step solution

3 steps

تمرين 1:
الدالة المعرفة هي f(x)=2x2−8x+6f(x) = 2x^2 - 8x + 6.

1) احسب f(0)f(0) و f(2)f(2) و f(4)f(4).

  1. حساب f(0)f(0).

    نعوض x=0x=0 في الدالة f(x)f(x).

    f(0)=2(0)2−8(0)+6f(0) = 2(0)^2 - 8(0) + 6 f(0)=0−0+6f(0) = 0 - 0 + 6 f(0)=6f(0) = 6

  2. حساب f(2)f(2).

    نعوض x=2x=2 في الدالة f(x)f(x).

    f(2)=2(2)2−8(2)+6f(2) = 2(2)^2 - 8(2) + 6 f(2)=2(4)−16+6f(2) = 2(4) - 16 + 6 f(2)=8−16+6f(2) = 8 - 16 + 6 f(2)=−8+6f(2) = -8 + 6 f(2)=−2f(2) = -2

  3. حساب f(4)f(4).

    نعوض x=4x=4 في الدالة f(x)f(x).

    f(4)=2(4)2−8(4)+6f(4) = 2(4)^2 - 8(4) + 6 f(4)=2(16)−32+6f(4) = 2(16) - 32 + 6 f(4)=32−32+6f(4) = 32 - 32 + 6 f(4)=0+6f(4) = 0 + 6 f(4)=6f(4) = 6

    النتائج هي:
    f(0)=6f(0) = \boxed{6}
    f(2)=−2f(2) = \boxed{-2}
    f(4)=6f(4) = \boxed{6}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

Qبالتأكيد، سأقوم بحل الأسئلة خطوة بخطوة. التمرين الأول: الجزء أ: الدالة f معرفة بـ f(x) = 2x2 + 4x…Qاحسب القيمة المتوسطة للدوال التالية على الفترات المعطاة: f(x) = 3x2 - 8x على الفترة [−1, 2]. f(x)…Qأوجد التكامل غير المحدد للدالة x² − (1)/(x).QSoit f(x)=(2x−1)/(x−3). 1. Donne Df. 2. Calcule x3f(x) et _xf(x). 3. Calcule f'(x) et étudie son…QDéterminer D_f l'ensemble de définition de la fonction f(x) = (1)/(2)x - 2 + (2)/(x).
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp