Question 1

A line passes through the point $$(2, 5)$$ and has slope $$m = 3. $$What is the equation of this line in slope-intercept form?

Accepted Answer

$$y = 3x - 1$$

Question 2

Find the equation of the line passing through the points $$(4, 0)$$ and $$(0, 4) in $$slope-intercept form.

Accepted Answer

$$y = -x + 4$$

Question 3

A line passes through the points $$(3, p)$$ and $$(1, 4)$$ and has slope $$m = 3. $$Find the value of $$p$$ and the equation of the line in slope-intercept form.

Accepted Answer

$$p = 10$$, $$y = 3x + 1$$

Question 4

What is the equation of the vertical line passing through the point $$(-5, 3)$$?

Accepted Answer

$$x = -5$$

Question 5

What is the equation of the horizontal line passing through the point $$(-5, 3)$$?

Accepted Answer

$$y = 3$$

Question 6

Which of the following statements is TRUE about parallel lines in the coordinate plane?

Accepted Answer

Parallel lines have the same slope.

Question 7

If two non-vertical lines are perpendicular, what is the relationship between their slopes $$m_1$$ and $$m_2$$?

Accepted Answer

$$m_1$$ 	imes $$m_2 = -1$

Question 8

Given the function $$h(x) = -x^2$ - 3$$, determine whether it is even, odd, or neither.

Accepted Answer

Even

Question 9

Given the function $$g(x) = x^3$ - 7x$$, determine whether it is even, odd, or neither.

Accepted Answer

Odd

Question 10

A car travels along a straight road. Its position at time $$t (in $$seconds) is given by $$s(t) = 5t^2$. What is the average velocity of the car between t = 2$ and t = 3$ seconds?

Accepted Answer

$$25 ft/sec$$

Question 11

Which of the following is the correct formula for the average rate of change of a function $$f(x)$$ from $$x = a to$$ $$x = b$$?

Accepted Answer

$$\dfrac{f(b) - f(a)}{b - a}$$

Question 12

Which of the following lines is perpendicular to the line $$y = 2x + 1$$?

Accepted Answer

$$y = -\dfrac{1}{2}x + 3$$

Question 13

A line passes through $$(3, 1)$$ and is parallel to the line $$y = 2x - 1. $$What is its equation?

Accepted Answer

$$y = 2x - 5$$

Question 14

Which of the following best describes the slope of a vertical line?

Accepted Answer

Undefined

Question 15

Which of the following best describes the slope of a horizontal line?

Accepted Answer

Zero

Question 16

If the average rate of change of $$f(x)$$ from $$x = 1 to$$ $$x = 4 is$$ $$5$$, and $$f(1) = 2$$, what is $$f(4)$$?

Accepted Answer

$$17$$

Question 17

Which of the following is a property of even functions?

Accepted Answer

$$f(-x) = f(x)$$

Question 18

Which of the following is a property of odd functions?

Accepted Answer

$$f(-x) = -f(x)$$

Question 19

A chemical reaction's temperature $$T (in$$ $$^	ext{o}C) $$over time $$t (in $$minutes) is modeled by $$T(t) = 2t + 10. $$What is the average rate of change of temperature from $$t = 5 to$$ $$t = 15$$?

Accepted Answer

$$2$$ $$^	ext{o}C/$$min

Question 20

A patient’s blood glucose level $$G(t) (in mg/dL) is $$measured at $$t = 0$$ and $$t = 2$$ hours. If $$G(0) = 90$$ and $$G(2) = 120$$, what is the average rate of change of glucose level over this period?

Accepted Answer

$$15 mg/dL $$per hour

Precalculus Quiz 2: Step-by-Step Guidance

Guida di studio - Domande di pratica

Study guide - Flashcard