Podcast
Questions and Answers
For the function 𝑓(𝑥) = 2𝑥² − 3𝑥 + 1, what is the value of 4𝑓(𝑥+ℎ)−𝑓(𝑥) / ℎ?
For the function 𝑓(𝑥) = 2𝑥² − 3𝑥 + 1, what is the value of 4𝑓(𝑥+ℎ)−𝑓(𝑥) / ℎ?
- 8𝑥 + 4ℎ - 6
- 8𝑥 - 3ℎ - 6
- 8𝑥 - 3ℎ + 4
- 8𝑥 + 4ℎ - 3 (correct)
In the function 𝑓(𝑥) = 5𝑥 + 20, what is the slope of the line?
In the function 𝑓(𝑥) = 5𝑥 + 20, what is the slope of the line?
- -5
- 5 (correct)
- 20
- -20
For the function 𝑓(𝑥) = 𝑥² − 6𝑥 + 8, what are the x-intercepts of the graph?
For the function 𝑓(𝑥) = 𝑥² − 6𝑥 + 8, what are the x-intercepts of the graph?
- -2 and -8
- 2 and 4
- -4 and -8
- -2 and -4 (correct)
What is the equation in vertex form for 𝑓(𝑥) = 𝑥² + 10𝑥 + 24?
What is the equation in vertex form for 𝑓(𝑥) = 𝑥² + 10𝑥 + 24?
What is the correct graph for the function 𝑓(𝑥) = −3(𝑥 + 2)² − 1?
What is the correct graph for the function 𝑓(𝑥) = −3(𝑥 + 2)² − 1?
What is the value of 𝑓(1.8) for 𝑓(𝑥) = ⟦10𝑥+0.5 ⟧?
What is the value of 𝑓(1.8) for 𝑓(𝑥) = ⟦10𝑥+0.5 ⟧?
What is the Decimal Degrees equivalent of 52° 34′ 16″?
What is the Decimal Degrees equivalent of 52° 34′ 16″?
What is the Degree-Minute-Second (DMS) representation of 56.075°?
What is the Degree-Minute-Second (DMS) representation of 56.075°?
What is the central angle (θ) when the radius is 18 meters and the arc length is 27 meters?
What is the central angle (θ) when the radius is 18 meters and the arc length is 27 meters?
Find the radian measure of -15°.
Find the radian measure of -15°.
What is the approximate value of cotangent of 11°?
What is the approximate value of cotangent of 11°?
Solve the right triangle with a = 19, α = 14°, and β = unknown.
Solve the right triangle with a = 19, α = 14°, and β = unknown.
What is the value of $e^{2x} - e^{2x-3}e^{3x^2}$?
What is the value of $e^{2x} - e^{2x-3}e^{3x^2}$?
In the equation $\log 4(2x - 1) + 3 = 5$, what is the value of $x$?
In the equation $\log 4(2x - 1) + 3 = 5$, what is the value of $x$?
If $\log_b 2 = 0.69$, $\log_b 3 = 1.10$, and $\log_b 5 = 1.61$, what is $\log_b \sqrt{60}$?
If $\log_b 2 = 0.69$, $\log_b 3 = 1.10$, and $\log_b 5 = 1.61$, what is $\log_b \sqrt{60}$?
If $\ln x = \ln(2x + 5) - \ln(x - 2)$, what is the value of $x$?
If $\ln x = \ln(2x + 5) - \ln(x - 2)$, what is the value of $x$?
What is the value of $\log 5(3x - 8)$ when it equals $2$?
What is the value of $\log 5(3x - 8)$ when it equals $2$?
Evaluate to four decimal places: $\ln 0.00654$.
Evaluate to four decimal places: $\ln 0.00654$.
What is the slope of the linear function $f(x) = 10x + 0.5$?
What is the slope of the linear function $f(x) = 10x + 0.5$?
For the function $f(x) = -2x - 3$, what are the slope and X-intercept, respectively?
For the function $f(x) = -2x - 3$, what are the slope and X-intercept, respectively?
What is the slope of the line given by $5y = 3x - 30$?
What is the slope of the line given by $5y = 3x - 30$?
For the function $g(x) = \frac{3}{2}$, what are the slope and x-intercept, respectively?
For the function $g(x) = \frac{3}{2}$, what are the slope and x-intercept, respectively?
If $f(x) = \sqrt{x^2 - 2x}$, what is the domain of the function?
If $f(x) = \sqrt{x^2 - 2x}$, what is the domain of the function?
Which of the following equations represents a function?
Which of the following equations represents a function?
What is the value of sin 𝜃 if cos 𝜃 = 3?
What is the value of sin 𝜃 if cos 𝜃 = 3?
If tan 𝜃 = -5, what is the value of sec 𝜃?
If tan 𝜃 = -5, what is the value of sec 𝜃?
Given sin 𝜃 = 3/5, what is the value of csc 𝜃?
Given sin 𝜃 = 3/5, what is the value of csc 𝜃?
Calculate the value of cot 264°.
Calculate the value of cot 264°.
If tan(20 rad) = x, what is the value of sec(20 rad)?
If tan(20 rad) = x, what is the value of sec(20 rad)?
What is the value of sin(-325° 45′ 32")?
What is the value of sin(-325° 45′ 32")?
