Find the vertex form of the function. Then find each of the following. (A) Inter

Question

Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range s(x)=x2-10x + 24 s(x)=L?(Type your answer in vertex form.) (A) State the y-intercept(s). (Use a comma to separate answers as needed. Type an integer or a decimal.) State the x-intercept(s). ?A. The x-intercepts are Lal- (Use a comma to separate answers as needed. Type an integer or a decimal.) O B. There are no x-intercepts. (B) The vertex is (Type an ordered pair.) (C) Does the function have a maximum or a minimum O minimum maximum The maximum or minimum value is (D) The range is Type your answer as an inequality or using interval notation.) Click to select your answerß)

Explanation / Answer

s(x) = x2-10x +24

      = x2-10x +25 -25+24 = (x-5)2-1

So the vertex form is s(x) =(x-5)2-1

y intercept, x =0

s(0) = 25-1=24

y intercept (0,24)

x intercept , s(x)=0

0 =(s-5)2-1

s-5 = +-1

s=6 , 4

x intercept (4,0),(6,0)

Since the value of a is positive , so it is minimum and the minimum value is 1.

Range

[1,infinity)

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