Question #e752d

1 Answer
Jim G.
Dec 20, 2017

#"x-intercepts "=-3,5," y-intercept "=-30#

Explanation:

#"to find the intercepts, that is where "f(x)" crosses"#
#"the x and y axes"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercepts"#

#x=0toy=-30larrcolor(red)"y-intercept"#

#y=0to2x^2-4x-30=0#

#rArr2(x^2-2x-15)=0#

#rArr2(x-5)(x+3)=0#

#"equate each factor to zero and solve for x"#

#x-5=0rArrx=5#

#x+3=0rArrx=-3#

#rArrx=-3,x=5larrcolor(red)"x-intercepts"#
graph{2x^2-4x-30 [-10, 10, -5, 5]}

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