How do you find the domain and range of f(x)=8x^2-5x+2?
1 Answer
Apr 7, 2017
Explanation:
f(x) has no
color(blue)"excluded values". That is values that make the functioncolor(blue)"undefined" and so all real values of x can be accepted by f(x)
rArr"domain is "x inRR To find the values of y in the range we require to find the vertex.
8x^2-5x+2
"has " a=8,b=-5" and " c=2
x_(color(red)"vertex")=-b/(2a)=-(-5)/16=5/16 To find the corresponding y-coordinate substitute this value into the equation.
y_(color(red)"vertex")=8(5/16)^2-5(5/16)+2
color(white)(xxxx)=25/32-50/32+64/32=39/32
rArr"vertex "=(5/16,39/32)
rArr"range is "y inRR,y>=39/32
graph{8x^2-5x+2 [-12.66, 12.65, -6.33, 6.33]}
