(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(2013,5),(2014,7),(2015,12)$$
Added by Robert J.
Step 1
Since we have three points, we can use a quadratic polynomial of the form: $$f(x) = ax^2 + bx + c$$ We can substitute the coordinates of the three points into this equation to get three equations: $$\begin{aligned} 5 &= a(2013)^2 + b(2013) + c \\ 7 &= a(2014)^2 Show more…
Show all steps
Your feedback will help us improve your experience
Sanchit Jain and 98 other Linear Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Recommended Videos
(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(2,5),(3,2),(4,5)$$
Systems of Linear Equations
Applications of Systems of Linear Equations
(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(2,4),(3,4),(4,4)$$
(a) determine the polynomial function whose graph passes through the points, and (b) sketch the graph of the polynomial function, showing the points. $$(-1,3),(0,0),(1,1),(4,58)$$
Recommended Textbooks
Linear Algebra and Its Applications
Differential Equations and Linear Algebra
Elementary Linear Algebra: Applications Version
Watch the video solution with this free unlock.
EMAIL
PASSWORD