Exponential Functions Question 2: Determine a formula for the exponential functi

Question

Exponential Functions Question 2: Determine a formula for the exponential function of the form y C . br that passes through the points (-1, 5) and (2, 135). If necessary, round the value of b to one decimal place. y=5.43. 3x y=5.27x y=15.3x y=15-5.2x y=5.5. 2x

Explanation / Answer

Given y = C b^x The exponential function passes through the point (-1,5) & (2,135) Hence these points should satisfy the equation Therefore with (-1,5) 5 = C. b^(-1) => b = (1/5)C or C = 5b Substituting in given equation we get y = 5b*b^x y = 5 . b^ (x + 1) Now using second point through which the curve passes (2,135) 135 = 5b^ (3) 135 = 5b^3 b^3 = 27 b = 3 Hence the equation of the curve is y = 5.3^(x+1) or 15.3^x i.e. Option C is correct

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.