Mid Year Methods 4 Review

A minimum will definitely occur when:

What is the dilation factor in the y direction for the function y=-4sin(3(x-π/6))+1 ?

This is a graph of y=-sin(x). It is also:

How many solutions would I expect for 2cos(2x)=1 for -4π≤x≤4π ?

Will the slope of y=tan(x) ever be 0?

If sin(x)=0.15 and cos(x)=0.45, then tan(x) is:

Work out dy/dx for y=cos²(5x).

How many x-intercepts does y=5/(x-3)²-4 have?

Tides repeat every 12 hours. The dilation factor in the x direction in the trig function is:

What is the inverse of f(x)=2/(x-1)+3 ?

If f(x)=log₄(x) and g(x)=x²-1, which of the following are defined:

What is the dilation in the y direction for y=1/(2x-3)?

Convert 210 degrees into radians:

Work out the derivative of f(x)=(x³+1)e^2x

If cos(x)=0.2 for 0≤x≤π/2, what is sin(x)?

If y = e^2x, what is the slope of the normal at x=2?

What is the horizontal translation for y=sin(3x-π/2) ?

Evaluate the limit as x→1 of (x³-1)/(x-1).

Which of the following functions is not smooth at x=0?

What is the coefficient of the x² term in (x-1)⁷ ?

How many stationary points does the function y=3(x-4)(x-2)(x-1) have?

The derivative of y=x⁴+2x³-6 is:

What is the range of y=2e^3x-1+4 ?

Which of the following is not a polynomial?

How many x-intercepts does y=5(x-2)³-3 have?

Divide (x³-x-6) by (x²+2x+3).

What is sin(4π/3)?

What are the two possible answers for tan(x)=-1 for 0≤x≤2π ?

What is the horizontal asymptote of y=3/(x-4)²+7

A function is differentiable at a point if the function is: