HEY GUYS, I JUST TOOK THE TEST AND THESE ARE THE RIGHT ANSWERS. QUESTION 1 - Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x plus 2?

graph of 2 x minus 4, with discontinuity at negative 1, negative 6 (CORRECT OPTION)

graph of 2 x minus 4, with discontinuity at 1, negative 2

graph of 2 x plus 2, with discontinuity at negative 1, 0

graph of 2 x plus 2, with discontinuity at 1, 4

QUESTION 2 - What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4?

Discontinuity at (−4, −11), zero at (3/2 , 0) (CORRECT OPTION)

Discontinuity at (−4, −11), zero at (-3/2 , 0)

Discontinuity at (4, 5), zero at ( 3/2 , 0)

Discontinuity at (4, 5), zero at (-3/2 , 0)

QUESTION 3 - What are the zero(s) of the function f(x) = the quantity of 4 x squared minus 36 x, all over x minus 9?

x = −9

x = 0 (CORRECT OPTION)

x = 9

x = 0 and x = 9

QUESTION 4 - What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2?

(−6, 0)

(6, 0)

(−2, −8) (CORRECT OPTION)

(2, −4)

QUESTION 5 - Which graph represents the function of f(x) = the quantity of 9 x squared minus 36, all over 3 x plus 6?

graph of 3 x plus 6, with discontinuity at 2, 12

graph of 3 x plus 6, with discontinuity at negative 2, 0

graph of 3 x minus 6, with discontinuity at negative 2, negative 12 (CORRECT OPTION)

graph of 3 x minus 6, with discontinuity at 2, 0

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.