14) what is the graph of the function rule ?
because the equation contains an absolute value, the shape of the graph would be a v,.
the y intercept is -1, so this would be the lowest point on the graph.
replace x with 1 and solve:
y = 2(1) -1 = 2-1 = 1, so another point would be (1,1) and another point would be (-1,1) ( absolute value would use both -1 and 1 as the same).
make 3 points on the graph:
(-1,1) (1,1) ans (0,-1) and draw lines through them.
see attached picture:
the correct answer option is d. 5, -4.
we are given the following equation and we are to solve it using the quadratic formula:
re-arranging this equation in order of decreasing power:
using the quadratic formula:
substituting the given values in the formula to get:
discriminant is 36.
x²-4x-5 = 0 have two real solutions.
given equation is :
we have to find discriminant of above equation.
general quadratic equation is :
ax²+bx+c = 0
comparing general equation with quadratic equation,we get
a = 1 ,b= -4 and c = -5
the formula to find discriminant is :
d = b²-4ac
putting the values of a,b and c in formula to find discriminant,we get
d = (-4)²-4()
d = 16+20
d = 36 > 0
if an equation has discriminant real and perfect square ,there are exactly two real solutions.
hence, 36 is real and greater than zero,so give equation have two real solution.