1,744 Answered Questions for the topic Functions

Functions

05/05/22

Find h(-2), h(0), and h(4)

find h(-2), h(0), and h(4) for the following function: h(x)=6x^2 + 3
Functions Math Math Trigonometry

04/29/22

Prove the following is an identity...

Prove that  is an identity. Pleae keep formatting and answer neat and concise thank you!

04/29/22

Complete the following quadratic equation...a) state the other five trigonometric ratios as fractions.

Given a) state the other five trigonometric ratios as fractions.b) determine the value of  to the nearest degree.
Functions Equations Review Angles

04/29/22

Angle theta lies in quadrant 2. Without using a calculator, determine if the following ratios are true or false. Explain your reasoning.

Angle  lies in quadrant 2. Without using a calculator, determine if the following ratios are true or false.  Explain your reasoning.a) b) 
Functions

04/21/22

Find f(x) and g(x) such that h(x)=(f@g)(x)

h(x)=√3x+6Suppose that g(x)=3x+6f(x)=

Calculus Continuity and Discontinuity Piecewise function

f(x) = { 2x - 1 : x < 0 ;;;; a : x = 0 ;;;; x+b/2 : x<0}a. Determine, if any, the values of a and b that cause f to have a limit for all x butnot continuous for one more x value!b. Determine,... more

04/15/22

The graph of a function of the form f(x)= a/x^2 +b is shown. Find the values of "a" and "b".

A (m<n) graph is pictured with a clear Horizontal Asymptote on the X-Axis and no Vertical Asymptotes. The function runs through the points (-1,1),(0,2), &(1,1).This is Q.28 in Unit 8.3 in... more

04/13/22

Use power rules (no calculator) to evaluate the following expression.

Use power rules (no calculator) to evaluate the expression  for x = –8, y = 2, n = –1.Please be clear and concise. And format your answer neatly! Thank you! :D
Functions Math Algebra Graphing

04/13/22

Explain how the following equation can be simplified without the use of a calculator.

Explain how    can be simplified without the use of a calculator.Please be clear and concise as well as detailed. And format your answer neatly. Thank you! :D
Functions Math Algebra Equations

04/13/22

The population of a town has grown at an annual rate of approximately 2.7%. Determine the following...

The population of a town has grown at an annual rate of approximately 2.7%. How long will it take for its population of 18 450 people to double at this growth rate?Please be clear and concise! And... more
Functions

04/08/22

i need help answering this equation

write a function that represents a stock valued at $100 decreasing in value by 9.5% each year
Functions

04/05/22

functions Degree

Given the functions R (arrow) Rf(x)=x+4 g(x)=1/2 h(x)=1/2findGoH

04/02/22

Use the graph of the function f to solve the inequality.

The points on the graph are (0,0) , (1,0) , (3,0)Arrows at the ends of the lines (infinity)a) The solution set for f(x) > 0 is (interval notation)b) The solution set for f(x)
Functions

04/01/22

High school functions

The table shows values of a function 𝑓(𝑥). The graph shows a function 𝑔(𝑥).x 4 5 6 7 8 9 10 𝑓(𝑥) -8 -4 8 10 11 14 18a) What is the average rate of change of 𝑓(𝑥) over the interval from x = 5 to x =... more
Functions

04/01/22

Basic High School Math

Sketch a function with the following characteristics (note: there are many possible correct functions). For full credit, each piece below must be represented and the function’s end behavior must be... more
Functions Math Algebra Graphing

03/31/22

The cost function for a telephone manufacturing plant is... Determine the following...

Question #1:The cost function for a telephone manufacturing plant is  and the revenue function is , where x is the number of telephones sold, in thousands.a) Determine the profit function for the... more
Functions Math Algebra Equations

03/31/22

A quadratic function has these characteristics. Please determine the following...

Question #1:A quadratic function has these characteristics:x = 1 is the equation for the axis of symmetry.x = –1 is an x-intercept.y = –4 is the minimum value.Determine the y-intercept of this... more
Functions Math Algebra Equations

03/31/22

A highway tunnel has a shape that can be modelled by the equation of a parabola. Determine the following...

Question #1:A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m.a) Determine the equation... more
Functions Math Algebra Graphing

03/31/22

The cost function for a telephone manufacturing plant is... Determine the following...

Question #1:The cost function for a telephone manufacturing plant is  and the revenue function is , where x is the number of telephones sold, in thousands.a) Determine the profit function for the... more
Functions Math Algebra Equations

03/31/22

A quadratic function has these characteristics. Please determine the following...

Question #1:A quadratic function has these characteristics:x = 1 is the equation for the axis of symmetry.x = –1 is an x-intercept.y = –4 is the minimum value.Determine the y-intercept of this... more

03/30/22

How do I find the oblique asymptote of this: y= (x-1)^3 / x^2

I tried to use long division but I don’t get how to do it since x2 is not a binomial. I’m also confused about how to divide if the numerator is in brackets and has an exponent. I tried to expand it... more
Functions Math Math Graphs

03/30/22

A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m.

Question #1:Question #2:A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m.a) Determine... more

03/30/22

The graph shows a function f that is a parabola. Determine the following...

Question #1:The graph shows a function f that is a parabola.a) Determine the equation of f(x). b) Determine the equation(s) of . Question #2:Muhammad is disc shooting. The height of the disc, in... more
Functions Math Algebra Equations

03/30/22

The graph shows a function f that is a parabola. Please determine the following...

Question #1:The graph shows a function f that is a parabola.a) Determine f(x).b) Determine the domain and range of f-1(x).c) Determine the equation(s) for .Question #2:A highway tunnel has a shape... more

03/30/22

A quadratic function has these characteristics: x = 1 is the equation for the axis of symmetry. x = –1 is an x-intercept. y = –4 is the minimum value. Determine the y-intercept of this parabola.

Question #1:A quadratic function has these characteristics:x = 1 is the equation for the axis of symmetry.x = –1 is an x-intercept.y = –4 is the minimum value.Determine the y-intercept of this... more

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