Question 1

Find the slope of the line. 
A) m = -8
B) m = 9
C) m = 12
D) m = 8
E) m = 5

Accepted Answer

The answer of Find the slope of the line. 
A)...

Question 2

Write the equation of the line that passes through the point P (3, 4) and is perpendicular to the line y = - 5x + 8.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation of the line that...

Question 3

Find the slope of the line passing through the pair of points. 
A) m = 5
B) m = 1
C) m = 2
D) m = -1
E) none of these

Accepted Answer

The answer of Find the slope of the line passing...

Question 4

Find the slope of the line through P(-9,1) and Q(-3,-11).
A) m = -1
B) m = -2
C) m = -4
D) m = -3
E) m = 0

Accepted Answer

The formula for slope is (y2-y1)/(x2-x1). Plugging in the values, we get:

m = (-11-1)/(-3-(-9))
m = (-12)/6
m = -2

Therefore, the slope of the line is -2, which is choice B.

Question 5

Write the equation of the line that passes through the point P (0,0) and is perpendicular to the line y = - 4x + 5.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the equation of the line that...

Question 6

Which function does the graph represent? 
A) g(x) =

B) 
C) g(x) =

D) g(x) =

E) g(x) =

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A)...

Question 7

Which graph represents the function? g(x) =   
A) 
B) 
C) 
D) 
E)

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Question 8

Find the y-intercept of the line determined by the equation. 
A) 
B) 
C) 
D) 
E)

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The answer of Find the y-intercept of the line determined...

Question 9

Graph the function. 
A) 
B) 
C) 
D)

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A) 
B) 
C) 
D)...

Question 10

Find the slope of the line through P(5,7) and Q(-1,7).
A) m = 3
B) m = -5
C) m = 6
D) m = 0
E) m = 1

Accepted Answer

To find the slope of the line passing through points P(5,7) and Q(-1,7), we use the slope formula:
m = (y2-y1)/(x2-x1)
m = (7-7)/(-1-5)
m = 0/-6
m = 0
Therefore, the slope of the line is 0, which means the line is horizontal. The best choice is D.

Question 11

Find the graph of the equation. 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the graph of the equation. 
A)...

Question 12

Find the slope of the line passing through the pair of points: P (-1,-18); Q (13,16)
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the slope of the line passing...

Question 13

Find the inverse of the one-to-one function. y = 5x + 8
A) 
B) 
C) 
D) 
E) none of the above

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Question 14

Find the inverse of the one-to-one function. 
A) 
B) 
C) 
D) 
E) inverse does not exist

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Question 15

Write the equation of the line that passes through the point P (0,0) and is parallel to the line y = 2x - 4.
A) x = 2y
B) y = 4x +2
C) y = -4x
D) y = 2x
E) y = 4x

Accepted Answer

Since the line we are trying to find is parallel to y=2x-4, it must have the same slope as y=2x-4, which is 2. We can use the point-slope form of a linear equation to find the equation of the line that passes through point P (0,0) with slope 2:
y - y1 = m(x - x1)
y - 0 = 2(x - 0)
y = 2x
Therefore, the answer is D.

Question 16

Find the inverse of the one-to-one function. y = 9x
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the inverse of the one-to-one function....

Question 17

The function  is one-to-one on the domain  . Find  .
A) 
B) 
C) 
D) 
E)

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Question 18

Tell where the function is decreasing. 
A) always increasing
B) always decreasing
C) 
D) always constant
E)

Accepted Answer

The answer of Tell where the function is decreasing. 
A)...

Question 19

Which equation does not represent y as a function of x?
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Which equation does not represent y as...

Question 20

Tell where the function is decreasing. 
A) 
B) 
C) always increasing
D) always constant
E) always decreasing

Accepted Answer

The answer of Tell where the function is decreasing. 
A)...

Quiz 1: Functions and Their Graphs

Find the slope of the line.

Write the equation of the line that passes through the point P (3, 4) and is perpendicular to the line y = - 5x + 8.

Find the slope of the line passing through the pair of points.

Find the slope of the line through P(-9,1) and Q(-3,-11) .

Write the equation of the line that passes through the point P (0,0) and is perpendicular to the line y = - 4x + 5.

Which function does the graph represent?

Which graph represents the function? g(x) =

Find the y-intercept of the line determined by the equation.

Graph the function.

Find the slope of the line through P(5,7) and Q(-1,7) .

Find the graph of the equation.

Find the slope of the line passing through the pair of points: P (-1,-18) ; Q (13,16)

Find the inverse of the one-to-one function. y = 5x + 8

Find the inverse of the one-to-one function.

Write the equation of the line that passes through the point P (0,0) and is parallel to the line y = 2x - 4.

Find the inverse of the one-to-one function. y = 9x

The function is one-to-one on the domain . Find .

Tell where the function is decreasing.

Which equation does not represent y as a function of x?

Tell where the function is decreasing.