Algebra 2 - 1.2/1.3 Quiz

What is the x-intercept of f(x)=-10? What is the y-intercept of f(x)=-10?

The x-intercept does not exist. y=-10 y-intercept = (0, -10)

If f(x)=4x+7, what is the minimum value of f(x) on the interval [-6, 0]? If f(x)=4x+7, what is the maximum value of f(x) on the interval [-6, 0]?

f(x)=4x+7 f(x)=4(-6)+7 f(x)=-24+7 Minimum Value = -17 f(x)=4x+7 f(x)=4(0)+7 f(x)=0+7 Maximum Value = 7

What is the x-intercept of y=4x+7? What is the y-intercept of y=4x+7

y=4x+7 (0)=4x+7 -7=4x x intercept = (-7/4, 0) y=4x+7 y=4(0)+7 y=7 y-intercept = (0, 7)

f(x)=2x+2 g(x)=x²+3 What is the (f x g)(x)

(f x g)(x) f(x) x g(x) (2x+2) x (x²+3) 2x x x², 2x x 3, 2 x x², 2 x 3 2x³+6x+2x²+6 (f x g)(x) = 2x³+2x²+6x+6

f(x)=2x+2 g(x)=x²+3 What is the (f ° g)(-4)?

(f ° g)(-4) f(g(-4)) f(-4²+3) f(16+3) f(19) 2(19)+2 38+2 (f ₀ g)(x) = 40

f(x)=2x+2 g(x)=x²+3 What is the (f ° g)(x)?

(f ° g)(x) f(g(x)) f(x²+3) 2(x²+3)+2 2x²+6+2 (f ° g)(x) = 2x²+8

f(x)=2x+2 g(x)=x²+3 What is the (f+g)(x)?

(f+g)(x) f(x)+g(x) (2x+2) + (x²+3) x²+2x+2+3 (f+g)(x) = x²+2x+5

f(x)=2x+2 g(x)=x²+3 What is the (f-g)(x)?

(f-g)(x) f(x)-g(x) (2x+2) - (x²+3) 2x+2-x²-3 -x²+2x+2-3 (f-g)(x) = -x²+2x-1

If f(x)=4x+7, what is the domain of f(x)? If f(x)=4x+7, what is the range of f(x)?

Domain = (-∞, ∞) Range = (-∞, ∞)

If f(x)=-10, what is the domain of f(x)? If f(x)=-10, what is the range of f(x)?

Domain = (-∞, ∞) Range = {-10}

If f(x)=-10, what is the minimum value of f(x) on the interval [0, 18]? If f(x)=-10, what is the maximum value of f(x) on the interval [0, 18]?

Minimum Value = -10 Maximum Value = -10